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1210013112 = 2337115631163
BaseRepresentation
bin100100000011111…
…0101010110111000
310010022212000221110
41020013311112320
54434230404422
6320022440320
741661641010
oct11007652670
93108760843
101210013112
11571025840
122992930a0
131638bbcb9
14b69b8c40
157136760c
hex481f55b8

1210013112 has 128 divisors (see below), whose sum is σ = 3781416960. Its totient is φ = 313461120.

The previous prime is 1210013087. The next prime is 1210013137. The reversal of 1210013112 is 2113100121.

It is an interprime number because it is at equal distance from previous prime (1210013087) and next prime (1210013137).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1039843 + ... + 1041005.

It is an arithmetic number, because the mean of its divisors is an integer number (29542320).

Almost surely, 21210013112 is an apocalyptic number.

1210013112 is a gapful number since it is divisible by the number (12) 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 1210013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890708480).

1210013112 is an abundant number, since it is smaller than the sum of its proper divisors (2571403848).

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

1210013112 is a wasteful number, since it uses less digits than its factorization.

1210013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1210013112 is about 34785.2427330901. The cubic root of 1210013112 is about 1065.6060858372.

Adding to 1210013112 its reverse (2113100121), we get a palindrome (3323113233).

The spelling of 1210013112 in words is "one billion, two hundred ten million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 563 616 924 1126 1163 1689 1848 2252 2326 3378 3489 3941 4504 4652 6193 6756 6978 7882 8141 9304 11823 12386 12793 13512 13956 15764 16282 18579 23646 24423 24772 25586 27912 31528 32564 37158 38379 43351 47292 48846 49544 51172 65128 74316 76758 86702 89551 94584 97692 102344 130053 148632 153516 173404 179102 195384 260106 268653 307032 346808 358204 520212 537306 654769 716408 1040424 1074612 1309538 1964307 2149224 2619076 3928614 4583383 5238152 7202459 7857228 9166766 13750149 14404918 15714456 18333532 21607377 27500298 28809836 36667064 43214754 50417213 55000596 57619672 86429508 100834426 110001192 151251639 172859016 201668852 302503278 403337704 605006556 1210013112