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100111000022000 = 24531116727248503
BaseRepresentation
bin10110110000110011101000…
…100110000010101111110000
3111010110111222201102212221122
4112300303220212002233300
5101110204312001201000
6552530205234241412
730041531622564602
oct2660635046025760
9433414881385848
10100111000022000
1129997922695650
12b28a223426268
1343b257188a036
141aa1580b4b172
15b891b45a0085
hex5b0ce8982bf0

100111000022000 has 160 divisors (see below), whose sum is σ = 265655910933504. Its totient is φ = 36186010656000.

The previous prime is 100111000021997. The next prime is 100111000022003. The reversal of 100111000022000 is 220000111001.

It is an interprime number because it is at equal distance from previous prime (100111000021997) and next prime (100111000022003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111000022003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9950252 + ... + 17298251.

Almost surely, 2100111000022000 is an apocalyptic number.

100111000022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111000022000 is an abundant number, since it is smaller than the sum of its proper divisors (165544910911504).

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

100111000022000 is a wasteful number, since it uses less digits than its factorization.

100111000022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27248704 (or 27248688 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100111000022000 its reverse (220000111001), we get a palindrome (100331000133001).

The spelling of 100111000022000 in words is "one hundred trillion, one hundred eleven billion, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 167 176 200 220 250 275 334 400 440 500 550 668 835 880 1000 1100 1336 1375 1670 1837 2000 2200 2672 2750 3340 3674 4175 4400 5500 6680 7348 8350 9185 11000 13360 14696 16700 18370 20875 22000 29392 33400 36740 41750 45925 66800 73480 83500 91850 146960 167000 183700 229625 334000 367400 459250 734800 918500 1837000 3674000 27248503 54497006 108994012 136242515 217988024 272485030 299733533 435976048 544970060 599467066 681212575 1089940120 1198934132 1362425150 1498667665 2179880240 2397868264 2724850300 2997335330 3406062875 4550500001 4795736528 5449700600 5994670660 6812125750 7493338325 9101000002 10899401200 11989341320 13624251500 14986676650 18202000004 22752500005 23978682640 27248503000 29973353300 36404000008 37466691625 45505000010 50055500011 54497006000 59946706600 72808000016 74933383250 91010000020 100111000022 113762500025 119893413200 149866766500 182020000040 200222000044 227525000050 250277500055 299733533000 364040000080 400444000088 455050000100 500555000110 568812500125 599467066000 800888000176 910100000200 1001110000220 1137625000250 1251387500275 1820200000400 2002220000440 2275250000500 2502775000550 4004440000880 4550500001000 5005550001100 6256937501375 9101000002000 10011100002200 12513875002750 20022200004400 25027750005500 50055500011000 100111000022000