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102122021020212 = 22322310110611150939
BaseRepresentation
bin10111001110000100100010…
…110010010110001000110100
3111101120202210020020110021200
4113032010202302112020310
5101341131344340121322
61001110113033412500
730340033611203034
oct2716044262261064
9441522706213250
10102122021020212
112a5a2784606516
12b553b2226a130
1344ca0b04bb60b
141b30a371b58c4
15bc1664db88ac
hex5ce122c96234

102122021020212 has 144 divisors (see below), whose sum is σ = 272288943239040. Its totient is φ = 32207848992000.

The previous prime is 102122021020169. The next prime is 102122021020277. The reversal of 102122021020212 is 212020120221201.

It is a happy number.

102122021020212 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 220 + 210 + 20 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88153839 + ... + 89304777.

It is an arithmetic number, because the mean of its divisors is an integer number (1890895439160).

Almost surely, 2102122021020212 is an apocalyptic number.

102122021020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122021020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136144471619520).

102122021020212 is an abundant number, since it is smaller than the sum of its proper divisors (170166922218828).

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

102122021020212 is a wasteful number, since it uses less digits than its factorization.

102122021020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152134 (or 1152129 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102122021020212 its reverse (212020120221201), we get a palindrome (314142141241413).

The spelling of 102122021020212 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-one million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 101 138 202 207 276 303 404 414 606 828 909 1061 1212 1818 2122 2323 3183 3636 4244 4646 6366 6969 9292 9549 12732 13938 19098 20907 24403 27876 38196 41814 48806 73209 83628 97612 107161 146418 214322 219627 292836 321483 428644 439254 642966 878508 964449 1150939 1285932 1928898 2301878 2464703 3452817 3857796 4603756 4929406 6905634 7394109 9858812 10358451 13811268 14788218 20716902 22182327 26471597 29576436 41433804 44364654 52943194 79414791 88729308 105886388 116244839 158829582 232489678 238244373 317659164 348734517 464979356 476488746 697469034 952977492 1046203551 1221146279 1394938068 2092407102 2442292558 2673631297 3663438837 4184814204 4884585116 5347262594 7326877674 8020893891 10694525188 10990316511 14653755348 16041787782 21980633022 24062681673 28086364417 32083575564 43961266044 48125363346 56172728834 84259093251 96250726692 112345457668 123335774179 168518186502 246671548358 252777279753 337036373004 370007322537 493343096716 505554559506 740014645074 1011109119012 1110021967611 1480029290148 2220043935222 2836722806117 4440087870444 5673445612234 8510168418351 11346891224468 17020336836702 25530505255053 34040673673404 51061010510106 102122021020212