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1110102100002 = 232726136595639
BaseRepresentation
bin10000001001110111001…
…111011100100000100010
310221010100220221121201200
4100021313033130200202
5121141442114200002
62205550204342030
7143126236106100
oct20116717344042
93833326847650
101110102100002
11398878771275
1215b18ab44916
13808b399303c
143ba2d006c70
151dd227cab1c
hex102773dc822

1110102100002 has 144 divisors (see below), whose sum is σ = 2845059422400. Its totient is φ = 311831916480.

The previous prime is 1110102099919. The next prime is 1110102100007. The reversal of 1110102100002 is 2000012010111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1110102100007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 196858699 + ... + 196864337.

It is an arithmetic number, because the mean of its divisors is an integer number (19757357100).

Almost surely, 21110102100002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110102100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422529711200).

1110102100002 is an abundant number, since it is smaller than the sum of its proper divisors (1734957322398).

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

1110102100002 is a wasteful number, since it uses less digits than its factorization.

1110102100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9381 (or 9371 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1110102100002 its reverse (2000012010111), we get a palindrome (3110114110113).

The spelling of 1110102100002 in words is "one trillion, one hundred ten billion, one hundred two million, one hundred thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 61 63 98 122 126 147 183 294 366 427 441 549 854 882 1098 1281 2562 2989 3659 3843 5639 5978 7318 7686 8967 10977 11278 16917 17934 21954 25613 26901 32931 33834 39473 50751 51226 53802 65862 76839 78946 101502 118419 153678 179291 223199 230517 236838 276311 343979 355257 358582 446398 461034 537873 552622 669597 687958 710514 828933 1031937 1075746 1339194 1562393 1613619 1657866 2008791 2063874 2407853 2486799 3095811 3124786 3227238 4017582 4687179 4815706 4973598 6191622 7223559 9374358 10936751 14061537 14447118 16854971 20633101 21670677 21873502 28123074 32810253 33709942 41266202 43341354 50564913 61899303 65620506 98430759 101129826 123798606 144431707 151694739 185697909 196861518 288863414 303389478 371395818 433295121 866590242 1011021949 1258619161 1299885363 2022043898 2517238322 2599770726 3033065847 3775857483 6066131694 7551714966 8810334127 9099197541 11327572449 17620668254 18198395082 22655144898 26431002381 52862004762 61672338889 79293007143 123344677778 158586014286 185017016667 370034033334 555051050001 1110102100002