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111202232020 = 225117122133217
BaseRepresentation
bin110011110010000101…
…0110110011011010100
3101122000212121200122221
41213210022312123110
53310220232411040
6123030253432124
711014460243035
oct1474412663324
9348025550587
10111202232020
11431848408a0
121967549b644
13a6425c32b9
14554cb34a8c
152d5c92474a
hex19e42b66d4

111202232020 has 96 divisors (see below), whose sum is σ = 258539371776. Its totient is φ = 39837235200.

The previous prime is 111202231999. The next prime is 111202232101. The reversal of 111202232020 is 20232202111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111202231985 and 111202232003.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 34565452 + ... + 34568668.

It is an arithmetic number, because the mean of its divisors is an integer number (2693118456).

Almost surely, 2111202232020 is an apocalyptic number.

111202232020 is a gapful number since it is divisible by the number (10) 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 111202232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129269685888).

111202232020 is an abundant number, since it is smaller than the sum of its proper divisors (147337139756).

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

111202232020 is a wasteful number, since it uses less digits than its factorization.

111202232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5521 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 111202232020 its reverse (20232202111), we get a palindrome (131434434131).

The spelling of 111202232020 in words is "one hundred eleven billion, two hundred two million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 2213 3124 3217 3905 4426 6434 7810 8852 11065 12868 15620 16085 22130 24343 32170 35387 44260 48686 64340 70774 97372 121715 141548 157123 176935 228407 243430 314246 353870 456814 486860 628492 707740 785615 913628 1142035 1571230 1728353 2284070 2512477 3142460 3456706 4568140 5024954 6913412 7119221 8641765 10049908 12562385 14238442 17283530 25124770 28476884 34567060 35596105 50249540 71192210 78311431 142384420 156622862 313245724 391557155 505464691 783114310 1010929382 1566228620 2021858764 2527323455 5054646910 5560111601 10109293820 11120223202 22240446404 27800558005 55601116010 111202232020