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111121021101020 = 225717911713786677
BaseRepresentation
bin11001010001000001100000…
…111111010110001111011100
3112120110001210000112010100212
4121101001200333112033130
5104031101322400213040
61032200143052311552
732256141330615110
oct3121014077261734
9476401700463325
10111121021101020
1132452184546547
1210567bb91725b8
134a0088a16bb38
141d62401171740
15cca7a58ccd65
hex651060fd63dc

111121021101020 has 96 divisors (see below), whose sum is σ = 268409430535680. Its totient is φ = 37853430900480.

The previous prime is 111121021101007. The next prime is 111121021101023. The reversal of 111121021101020 is 20101120121111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 111121021100986 and 111121021101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111121021101023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27451922 + ... + 31238598.

It is an arithmetic number, because the mean of its divisors is an integer number (2795931568080).

Almost surely, 2111121021101020 is an apocalyptic number.

111121021101020 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 111121021101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134204715267840).

111121021101020 is an abundant number, since it is smaller than the sum of its proper divisors (157288409434660).

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

111121021101020 is a wasteful number, since it uses less digits than its factorization.

111121021101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788043 (or 3788041 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 111121021101020 its reverse (20101120121111), we get a palindrome (131222141222131).

The spelling of 111121021101020 in words is "one hundred eleven trillion, one hundred twenty-one billion, twenty-one million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 358 716 895 1171 1253 1790 2342 2506 3580 4684 5012 5855 6265 8197 11710 12530 16394 23420 25060 32788 40985 81970 163940 209609 419218 838436 1048045 1467263 2096090 2934526 3786677 4192180 5869052 7336315 7573354 14672630 15146708 18933385 26506739 29345260 37866770 53013478 75733540 106026956 132533695 265067390 530134780 677815183 1355630366 2711260732 3389075915 4434198767 4744706281 6778151830 8868397534 9489412562 13556303660 17736795068 18978825124 22170993835 23723531405 31039391369 44341987670 47447062810 62078782738 88683975340 94894125620 124157565476 155196956845 310393913690 620787827380 793721579293 1587443158586 3174886317172 3968607896465 5556051055051 7937215792930 11112102110102 15874431585860 22224204220204 27780255275255 55560510550510 111121021101020