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210021220100010 = 23511262219300287
BaseRepresentation
bin101111110000001101100000…
…001110000010011110101010
31000112121211110221020002012210
4233300031200032002132222
5210011441424321200020
62022402225550545550
762144350422600654
oct5760154016023652
91015554427202183
10210021220100010
1160a12554560600
121b67b6298082b6
139025bba8032a7
1439c111d0bb6d4
151943201e093e0
hexbf03603827aa

210021220100010 has 96 divisors (see below), whose sum is σ = 554128569179136. Its totient is φ = 50906045449600.

The previous prime is 210021220099981. The next prime is 210021220100011. The reversal of 210021220100010 is 10001022120012.

It is not an unprimeable number, because it can be changed into a prime (210021220100011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17932087 + ... + 27232373.

It is an arithmetic number, because the mean of its divisors is an integer number (5772172595616).

Almost surely, 2210021220100010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210021220100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277064284589568).

210021220100010 is an abundant number, since it is smaller than the sum of its proper divisors (344107349079126).

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

210021220100010 is a wasteful number, since it uses less digits than its factorization.

210021220100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9306540 (or 9306529 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210021220100010 its reverse (10001022120012), we get a palindrome (220022242220022).

It can be divided in two parts, 2100212 and 20100010, that added together give a palindrome (22200222).

The spelling of 210021220100010 in words is "two hundred ten trillion, twenty-one billion, two hundred twenty million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 6221 12442 18663 31105 37326 62210 68431 93315 136862 186630 205293 342155 410586 684310 752741 1026465 1505482 2052930 2258223 3763705 4516446 7527410 9300287 11291115 18600574 22582230 27900861 46501435 55801722 93002870 102303157 139504305 204606314 279008610 306909471 511515785 613818942 1023031570 1125334727 1534547355 2250669454 3069094710 3376004181 5626673635 6752008362 11253347270 16880020905 33760041810 57857085427 115714170854 173571256281 289285427135 347142512562 578570854270 636427939697 867856281405 1272855879394 1735712562810 1909283819091 3182139698485 3818567638182 6364279396970 7000707336667 9546419095455 14001414673334 19092838190910 21002122010001 35003536683335 42004244020002 70007073366670 105010610050005 210021220100010