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100331343343110 = 235112913975424057
BaseRepresentation
bin10110110100000000110110…
…000101000110111000000110
3111011020120201211021100201110
4112310000312011012320012
5101122312042343434420
6553215325520305450
730063462135114645
oct2664006605067006
9434216654240643
10100331343343110
1129a72313759020
12b304a77a72286
1343ca28873c009
141aac0c496335c
15b8ecad9a9ee0
hex5b4036146e06

100331343343110 has 128 divisors (see below), whose sum is σ = 273698821670400. Its totient is φ = 23315084190720.

The previous prime is 100331343343103. The next prime is 100331343343111. The reversal of 100331343343110 is 11343343133001.

It is a super-2 number, since 2×1003313433431102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100331343343111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36381799 + ... + 39042258.

It is an arithmetic number, because the mean of its divisors is an integer number (2138272044300).

Almost surely, 2100331343343110 is an apocalyptic number.

100331343343110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100331343343110 is an abundant number, since it is smaller than the sum of its proper divisors (173367478327290).

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

100331343343110 is a wasteful number, since it uses less digits than its factorization.

100331343343110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75424246.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 100331343343110 its reverse (11343343133001), we get a palindrome (111674686476111).

The spelling of 100331343343110 in words is "one hundred trillion, three hundred thirty-one billion, three hundred forty-three million, three hundred forty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 139 145 165 174 278 290 319 330 417 435 638 695 834 870 957 1390 1529 1595 1914 2085 3058 3190 4031 4170 4587 4785 7645 8062 9174 9570 12093 15290 20155 22935 24186 40310 44341 45870 60465 88682 120930 133023 221705 266046 443410 665115 1330230 75424057 150848114 226272171 377120285 452544342 754240570 829664627 1131360855 1659329254 2187297653 2262721710 2488993881 4148323135 4374595306 4977987762 6561892959 8296646270 10483943923 10936488265 12444969405 13123785918 20967887846 21872976530 24060274183 24889938810 31451831769 32809464795 48120548366 52419719615 62903663538 65618929590 72180822549 104839439230 115323383153 120301370915 144361645098 157259158845 230646766306 240602741830 304034373767 314518317690 345970149459 360904112745 576616915765 608068747534 691940298918 721808225490 912103121301 1153233831530 1520171868835 1729850747295 1824206242602 3040343737670 3344378111437 3459701494590 4560515606505 6688756222874 9121031213010 10033134334311 16721890557185 20066268668622 33443781114370 50165671671555 100331343343110