Search a number
-
+
13001030122212 = 22331173149912713
BaseRepresentation
bin1011110100110000100111…
…0010000011101011100100
31201000212221010212011022000
42331030021302003223210
53201002102202402322
643352331335405300
72511202434450216
oct275141162035344
951025833764260
1013001030122212
114162784627870
12155b82a823830
13733cb82110a2
1432d378b745b6
151782bed183ac
hexbd309c83ae4

13001030122212 has 96 divisors (see below), whose sum is σ = 37274297208960. Its totient is φ = 3885737495040.

The previous prime is 13001030122177. The next prime is 13001030122231. The reversal of 13001030122212 is 21222103010031.

13001030122212 is a `hidden beast` number, since 1 + 300 + 1 + 0 + 30 + 122 + 212 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74869633 + ... + 75043080.

It is an arithmetic number, because the mean of its divisors is an integer number (388273929260).

Almost surely, 213001030122212 is an apocalyptic number.

13001030122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13001030122212 is an abundant number, since it is smaller than the sum of its proper divisors (24273267086748).

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

13001030122212 is a wasteful number, since it uses less digits than its factorization.

13001030122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149912810 (or 149912802 counting only the distinct ones).

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

Adding to 13001030122212 its reverse (21222103010031), we get a palindrome (34223133132243).

The spelling of 13001030122212 in words is "thirteen trillion, one billion, thirty million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 73 99 108 132 146 198 219 292 297 396 438 594 657 803 876 1188 1314 1606 1971 2409 2628 3212 3942 4818 7227 7884 9636 14454 21681 28908 43362 86724 149912713 299825426 449738139 599650852 899476278 1349214417 1649039843 1798952556 2698428834 3298079686 4047643251 4947119529 5396857668 6596159372 8095286502 9894239058 10943628049 14841358587 16190573004 19788478116 21887256098 29682717174 32830884147 43774512196 44524075761 59365434348 65661768294 89048151522 98492652441 120379908539 131323536588 178096303044 196985304882 240759817078 295477957323 361139725617 393970609764 481519634156 590955914646 722279451234 1083419176851 1181911829292 1444558902468 2166838353702 3250257530553 4333676707404 6500515061106 13001030122212