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1117414420100 = 2252111576470263
BaseRepresentation
bin10000010000101011000…
…101101110111010000100
310221211020112100222010222
4100100223011232322010
5121301431042420400
62213155541003512
7143505366566426
oct20205305567204
93854215328128
101117414420100
113a0990344620
1216068b9b3598
13814aa8bb674
143c124222816
151e0ee739185
hex1042b16ee84

1117414420100 has 72 divisors (see below), whose sum is σ = 2662073658048. Its totient is φ = 403744348800.

The previous prime is 1117414420079. The next prime is 1117414420103. The reversal of 1117414420100 is 10244147111.

It is a super-2 number, since 2×11174144201002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1117414420100.

It is not an unprimeable number, because it can be changed into a prime (1117414420103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3062432 + ... + 3407831.

Almost surely, 21117414420100 is an apocalyptic number.

1117414420100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1117414420100 is an abundant number, since it is smaller than the sum of its proper divisors (1544659237948).

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

1117414420100 is a wasteful number, since it uses less digits than its factorization.

1117414420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470445 (or 6470438 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

Adding to 1117414420100 its reverse (10244147111), we get a palindrome (1127658567211).

The spelling of 1117414420100 in words is "one trillion, one hundred seventeen billion, four hundred fourteen million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 157 220 275 314 550 628 785 1100 1570 1727 3140 3454 3925 6908 7850 8635 15700 17270 34540 43175 86350 172700 6470263 12940526 25881052 32351315 64702630 71172893 129405260 142345786 161756575 284691572 323513150 355864465 647026300 711728930 1015831291 1423457860 1779322325 2031662582 3558644650 4063325164 5079156455 7117289300 10158312910 11174144201 20316625820 22348288402 25395782275 44696576804 50791564550 55870721005 101583129100 111741442010 223482884020 279353605025 558707210050 1117414420100