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100055304420344 = 237132771975925111
BaseRepresentation
bin10110101111111111110000…
…111000001011101111111000
3111010021012020012100011200022
4112233333300320023233320
5101103301230412422334
6552444434452230012
730034520501022320
oct2657776070135770
9433235205304608
10100055304420344
11299762419aa799
12b27b47b00b308
1343aa236b2c320
141a9c9b9c08280
15b87a04b9e82e
hex5afff0e0bbf8

100055304420344 has 128 divisors (see below), whose sum is σ = 231751375564800. Its totient is φ = 39435855229440.

The previous prime is 100055304420329. The next prime is 100055304420367. The reversal of 100055304420344 is 443024403550001.

It is a super-2 number, since 2×1000553044203442 (a number of 29 digits) contains 22 as substring.

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, 3984508349 + ... + 3984533459.

It is an arithmetic number, because the mean of its divisors is an integer number (1810557621600).

Almost surely, 2100055304420344 is an apocalyptic number.

100055304420344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100055304420344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115875687782400).

100055304420344 is an abundant number, since it is smaller than the sum of its proper divisors (131696071144456).

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

100055304420344 is a wasteful number, since it uses less digits than its factorization.

100055304420344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45173 (or 45169 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 100055304420344 its reverse (443024403550001), we get a palindrome (543079707970345).

The spelling of 100055304420344 in words is "one hundred trillion, fifty-five billion, three hundred four million, four hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 277 364 554 728 1108 1939 2216 3601 3878 7202 7756 14404 15512 19759 25111 25207 28808 39518 50222 50414 79036 100444 100828 138313 158072 175777 200888 201656 256867 276626 326443 351554 513734 553252 652886 703108 1027468 1106504 1305772 1406216 1798069 2054936 2285101 2611544 3596138 4570202 5473243 6955747 7192276 9140404 10946486 13911494 14384552 18280808 21892972 27822988 38312701 43785944 48690229 55645976 71152159 76625402 90424711 97380458 142304318 153250804 180849422 194760916 284608636 306501608 361698844 389521832 496168249 498065113 569217272 632972977 723397688 992336498 996130226 1265945954 1984672996 1992260452 2531891908 3473177743 3969345992 3984520904 5063783816 6450187237 6946355486 12900374474 13892710972 25800748948 27785421944 45151310659 51601497896 90302621318 137438604973 180605242636 274877209946 361210485272 549754419892 962070234811 1099508839784 1786701864649 1924140469622 3573403729298 3848280939244 7146807458596 7696561878488 12506913052543 14293614917192 25013826105086 50027652210172 100055304420344