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100222012012010 = 25729251493739841
BaseRepresentation
bin10110110010011011000001…
…011011001011010111101010
3111010212010112100002021122012
4112302123001123023113222
5101114014140033341020
6553053205014355522
730052541613124340
oct2662330133132752
9433763470067565
10100222012012010
1129a2aa09aa8839
12b2a784505bba2
1343bcb839316a5
141aa6ab24bd990
15b8c0104467c5
hex5b26c16cb5ea

100222012012010 has 128 divisors (see below), whose sum is σ = 214178811517440. Its totient is φ = 33037240320000.

The previous prime is 100222012012009. The next prime is 100222012012019. The reversal of 100222012012010 is 10210210222001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (100222012012019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2515529690 + ... + 2515569530.

It is an arithmetic number, because the mean of its divisors is an integer number (1673271964980).

Almost surely, 2100222012012010 is an apocalyptic number.

100222012012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100222012012010 is an abundant number, since it is smaller than the sum of its proper divisors (113956799505430).

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

100222012012010 is a wasteful number, since it uses less digits than its factorization.

100222012012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45072.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100222012012010 its reverse (10210210222001), we get a palindrome (110432222234011).

The spelling of 100222012012010 in words is "one hundred trillion, two hundred twenty-two billion, twelve million, twelve thousand, ten".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 251 290 406 502 1015 1255 1757 2030 2510 3514 4937 7279 8785 9874 14558 17570 24685 34559 36395 39841 49370 50953 69118 72790 79682 101906 143173 172795 199205 254765 278887 286346 345590 398410 509530 557774 715865 1002211 1155389 1239187 1394435 1431730 2004422 2310778 2478374 2788870 5011055 5776945 6195935 8087723 8674309 10000091 10022110 11553890 12391870 16175446 17348618 20000182 35936423 40438615 43371545 50000455 70000637 71872846 80877230 86743090 100000910 140001274 179682115 196695017 251554961 290002639 350003185 359364230 393390034 503109922 580005278 700006370 983475085 1257774805 1376865119 1450013195 1966950170 2030018473 2515549610 2753730238 2900026390 4060036946 5704155493 6884325595 10150092365 11408310986 13768651190 20300184730 28520777465 39929088451 49370449267 57041554930 79858176902 98740898534 199645442255 246852246335 345593144869 399290884510 493704492670 691186289738 1431743028743 1727965724345 2863486057486 3455931448690 7158715143715 10022201201201 14317430287430 20044402402402 50111006006005 100222012012010