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100401123404112 = 243171935318345101
BaseRepresentation
bin10110110101000001110101…
…010010111010100101010000
3111011111020211220202202000020
4112311001311102322211100
5101124433000042412422
6553311350033223440
730101512301624016
oct2665016522724520
9434436756682006
10100401123404112
1129a99971789723
12b3164b1101b80
134403a2943a93b
141ab16242868b6
15b919e4b2395c
hex5b50754ba950

100401123404112 has 160 divisors (see below), whose sum is σ = 289899575061120. Its totient is φ = 29756045721600.

The previous prime is 100401123404083. The next prime is 100401123404137. The reversal of 100401123404112 is 211404321104001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3699639 + ... + 14645462.

It is an arithmetic number, because the mean of its divisors is an integer number (1811872344132).

Almost surely, 2100401123404112 is an apocalyptic number.

100401123404112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100401123404112 is an abundant number, since it is smaller than the sum of its proper divisors (189498451657008).

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

100401123404112 is a wasteful number, since it uses less digits than its factorization.

100401123404112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18345501 (or 18345495 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 100401123404112 its reverse (211404321104001), we get a palindrome (311805444508113).

The spelling of 100401123404112 in words is "one hundred trillion, four hundred one billion, one hundred twenty-three million, four hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 353 408 456 646 706 816 912 969 1059 1292 1412 1938 2118 2584 2824 3876 4236 5168 5648 6001 6707 7752 8472 12002 13414 15504 16944 18003 20121 24004 26828 36006 40242 48008 53656 72012 80484 96016 107312 114019 144024 160968 228038 288048 321936 342057 456076 684114 912152 1368228 1824304 2736456 5472912 18345101 36690202 55035303 73380404 110070606 146760808 220141212 293521616 311866717 348556919 440282424 623733434 697113838 880564848 935600151 1045670757 1247466868 1394227676 1871200302 2091341514 2494933736 2788455352 3742400604 4182683028 4989867472 5576910704 5925467623 6475820653 7484801208 8365366056 11850935246 12951641306 14969602416 16730732112 17776402869 19427461959 23701870492 25903282612 35552805738 38854923918 47403740984 51806565224 71105611476 77709847836 94807481968 103613130448 110088951101 123040592407 142211222952 155419695672 220177902202 246081184814 284422445904 310839391344 330266853303 369121777221 440355804404 492162369628 660533706606 738243554442 880711608808 984324739256 1321067413212 1476487108884 1761423217616 1968649478512 2091690070919 2642134826424 2952974217768 4183380141838 5284269652848 5905948435536 6275070212757 8366760283676 12550140425514 16733520567352 25100280851028 33467041134704 50200561702056 100401123404112