Search a number
-
+
103221312012 = 223372131500397
BaseRepresentation
bin110000000100001111…
…0000011101000001100
3100212102200002221121000
41200020132003220030
53142344123441022
6115230314540300
710312630450500
oct1401036035014
9325380087530
10103221312012
113a859815535
1218008737690
139970000920
144dd2bd6300
152a41e476ac
hex1808783a0c

103221312012 has 144 divisors (see below), whose sum is σ = 335248929120. Its totient is φ = 27223185024.

The previous prime is 103221311987. The next prime is 103221312049. The reversal of 103221312012 is 210213122301.

103221312012 is a `hidden beast` number, since 10 + 322 + 131 + 201 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681403 + ... + 818994.

Almost surely, 2103221312012 is an apocalyptic number.

103221312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103221312012 is an abundant number, since it is smaller than the sum of its proper divisors (232027617108).

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

103221312012 is a wasteful number, since it uses less digits than its factorization.

103221312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500437 (or 1500422 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103221312012 its reverse (210213122301), we get a palindrome (313434434313).

The spelling of 103221312012 in words is "one hundred three billion, two hundred twenty-one million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 9828 11466 17199 22932 34398 68796 1500397 3000794 4501191 6001588 9002382 10502779 13503573 18004764 19505161 21005558 27007146 31508337 39010322 40510719 42011116 54014292 58515483 63016674 73519453 78020644 81021438 94525011 117030966 126033348 136536127 147038906 162042876 175546449 189050022 220558359 234061932 273072254 283575033 294077812 351092898 378100044 409608381 441116718 526639347 546144508 567150066 661675077 702185796 819216762 882233436 955752889 1053278694 1134300132 1228825143 1323350154 1638433524 1911505778 1985025231 2106557388 2457650286 2646700308 2867258667 3686475429 3823011556 3970050462 4915300572 5734517334 7372950858 7940100924 8601776001 11469034668 14745901716 17203552002 25805328003 34407104004 51610656006 103221312012