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11112200012100 = 22352114996748163
BaseRepresentation
bin1010000110110100001010…
…1111000000000101000100
31110100022112022202211221010
42201231002233000011010
52424030241200341400
635344512455122220
72224554450433245
oct241550257000504
943308468684833
1011112200012100
1135a4726237740
1212b5751373370
13627b50657c65
142a5b949daccc
151440c19c2450
hexa1b42bc0144

11112200012100 has 144 divisors (see below), whose sum is σ = 35144438112000. Its totient is φ = 2688467740800.

The previous prime is 11112200012099. The next prime is 11112200012129. The reversal of 11112200012100 is 121000221111.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1727382 + ... + 5020781.

It is an arithmetic number, because the mean of its divisors is an integer number (244058598000).

Almost surely, 211112200012100 is an apocalyptic number.

11112200012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112200012100 is an abundant number, since it is smaller than the sum of its proper divisors (24032238099900).

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

11112200012100 is a wasteful number, since it uses less digits than its factorization.

11112200012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748690 (or 6748683 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11112200012100 its reverse (121000221111), we get a palindrome (11233200233211).

The spelling of 11112200012100 in words is "eleven trillion, one hundred twelve billion, two hundred million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 499 550 660 825 998 1100 1497 1650 1996 2495 2994 3300 4990 5489 5988 7485 9980 10978 12475 14970 16467 21956 24950 27445 29940 32934 37425 49900 54890 65868 74850 82335 109780 137225 149700 164670 274450 329340 411675 548900 823350 1646700 6748163 13496326 20244489 26992652 33740815 40488978 67481630 74229793 80977956 101222445 134963260 148459586 168704075 202444890 222689379 296919172 337408150 371148965 404889780 445378758 506112225 674816300 742297930 890757516 1012224450 1113446895 1484595860 1855744825 2024448900 2226893790 3367333337 3711489650 4453787580 5567234475 6734666674 7422979300 10102000011 11134468950 13469333348 16836666685 20204000022 22268937900 33673333370 37040666707 40408000044 50510000055 67346666740 74081333414 84183333425 101020000110 111122000121 148162666828 168366666850 185203333535 202040000220 222244000242 252550000275 336733333700 370406667070 444488000484 505100000550 555610000605 740813334140 926016667675 1010200001100 1111220001210 1852033335350 2222440002420 2778050003025 3704066670700 5556100006050 11112200012100