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110021221221102 = 23423337323893271
BaseRepresentation
bin11001000001000001001111…
…110011110000001011101110
3112102112221000002000111210000
4121001001033303300023232
5103410041430113033402
61025555015024125130
732113525266105042
oct3101011763601356
9472487002014700
10110021221221102
113206881314a754
121040aa244667a6
134950c58990719
141d250ac4bc022
15cabd877abc1c
hex64104fcf02ee

110021221221102 has 160 divisors (see below), whose sum is σ = 248430710024640. Its totient is φ = 36392070044160.

The previous prime is 110021221221017. The next prime is 110021221221103. The reversal of 110021221221102 is 201122122120011.

110021221221102 is a `hidden beast` number, since 1 + 100 + 21 + 221 + 221 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110021221221103) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33635345727 + ... + 33635348997.

It is an arithmetic number, because the mean of its divisors is an integer number (1552691937654).

Almost surely, 2110021221221102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110021221221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124215355012320).

110021221221102 is an abundant number, since it is smaller than the sum of its proper divisors (138409488803538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110021221221102 is a wasteful number, since it uses less digits than its factorization.

110021221221102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6280 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110021221221102 its reverse (201122122120011), we get a palindrome (311143343341113).

The spelling of 110021221221102 in words is "one hundred ten trillion, twenty-one billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 233 373 466 699 746 1119 1398 2097 2238 2389 3271 3357 4194 4778 6291 6542 6714 7167 9813 10071 12582 14334 18873 19626 20142 21501 29439 30213 37746 43002 58878 60426 64503 86909 88317 129006 173818 176634 193509 260727 264951 387018 521454 529902 556637 762143 782181 891097 1113274 1220083 1524286 1564362 1669911 1782194 2286429 2346543 2440166 2673291 3339822 3660249 4572858 4693086 5009733 5346582 6859287 7039629 7320498 7814419 8019873 10019466 10980747 13718574 14079258 15029199 15628838 16039746 20577861 21961494 23443257 24059619 30058398 32942241 41155722 45087597 46886514 48119238 61733583 65884482 70329771 72178857 90175194 98826723 123467166 140659542 144357714 197653446 207625601 210989313 284279339 415251202 421978626 568558678 622876803 632967939 852838017 1245753606 1265935878 1705676034 1820759627 1868630409 2558514051 2914778287 3641519254 3737260818 5117028102 5462278881 5605891227 5829556574 7675542153 8744334861 10924557762 11211782454 15351084306 16386836643 16817673681 17488669722 23026626459 26233004583 32773673286 33635347362 46053252918 49160509929 52466009166 78699013749 98321019858 147481529787 157398027498 236097041247 294963059574 472194082494 679143340871 1358286681742 2037430022613 4074860045226 6112290067839 12224580135678 18336870203517 36673740407034 55010610610551 110021221221102