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10001111100002 = 21153791311575279
BaseRepresentation
bin1001000110001001000010…
…1011001010101001100010
31022102002121121221222111022
42101202100223022221202
52302324233420200002
633134240315445442
72051361566501021
oct221422053125142
938362547858438
1010001111100002
1132064a153a990
121156347a56882
135771403c4649
142680b091a8b8
1512524276cba2
hex91890acaa62

10001111100002 has 128 divisors (see below), whose sum is σ = 17125812633600. Its totient is φ = 4341454790400.

The previous prime is 10001111099983. The next prime is 10001111100011. The reversal of 10001111100002 is 20000111110001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1894505999 + ... + 1894511277.

It is an arithmetic number, because the mean of its divisors is an integer number (133795411200).

Almost surely, 210001111100002 is an apocalyptic number.

10001111100002 is a deficient number, since it is larger than the sum of its proper divisors (7124701533598).

10001111100002 is a wasteful number, since it uses less digits than its factorization.

10001111100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10001111100002 its reverse (20000111110001), we get a palindrome (30001222210003).

Subtracting 10001111100002 from its reverse (20000111110001), we obtain a palindrome (9999000009999).

The spelling of 10001111100002 in words is "ten trillion, one billion, one hundred eleven million, one hundred thousand, two".

Divisors: 1 2 11 22 53 79 106 131 157 158 262 314 583 869 1166 1441 1727 1738 2882 3454 4187 5279 6943 8321 8374 10349 10558 12403 13886 16642 20567 20698 24806 41134 46057 58069 76373 91531 92114 113839 116138 136433 152746 183062 226237 227678 272866 279787 417041 452474 548497 559574 657359 691549 828803 834082 1090051 1096994 1314718 1383098 1624793 1657606 2180102 3077657 3249586 4587451 6033467 6155314 7230949 7607039 9116833 9174902 11990561 12066934 14461898 15214078 17872723 18233666 22103173 23981122 35745446 36652097 43926559 44206346 54632371 65475437 73304194 86114029 87853118 108573193 109264742 130950874 172228058 217146386 243134903 403173067 483192149 486269806 600956081 720229807 806346134 947254319 966384298 1194305123 1201912162 1440459614 1894508638 2388610246 2895515663 3470198161 5754379229 5791031326 6940396322 8577282247 11508758458 17154564494 31850672293 38172179771 63298171519 63701344586 76344359542 94350104717 126596343038 188700209434 454595959091 909191918182 5000555550001 10001111100002