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13030111111212 = 223213591972395433
BaseRepresentation
bin1011110110011100111100…
…1001001110100000101100
31201010122222211212110120200
42331213033021032200230
53201441131421024322
643413541142113500
72513252205000546
oct275471711164054
951118884773520
1013030111111212
114174048034278
1215653a5a1b890
137369710845a0
14330937114696
15178e22e0c8ac
hexbd9cf24e82c

13030111111212 has 144 divisors (see below), whose sum is σ = 36255181042080. Its totient is φ = 3921303020544.

The previous prime is 13030111111211. The next prime is 13030111111229. The reversal of 13030111111212 is 21211111103031.

13030111111212 is a `hidden beast` number, since 1 + 30 + 301 + 11 + 111 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13030111111211) 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 47 ways as a sum of consecutive naturals, for example, 4241848 + ... + 6637280.

It is an arithmetic number, because the mean of its divisors is an integer number (251772090570).

Almost surely, 213030111111212 is an apocalyptic number.

13030111111212 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 13030111111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127590521040).

13030111111212 is an abundant number, since it is smaller than the sum of its proper divisors (23225069930868).

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

13030111111212 is a wasteful number, since it uses less digits than its factorization.

13030111111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395712 (or 2395707 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13030111111212 its reverse (21211111103031), we get a palindrome (34241222214243).

The spelling of 13030111111212 in words is "thirteen trillion, thirty billion, one hundred eleven million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 177 197 234 236 354 394 468 531 591 708 767 788 1062 1182 1534 1773 2124 2301 2364 2561 3068 3546 4602 5122 6903 7092 7683 9204 10244 11623 13806 15366 23049 23246 27612 30732 34869 46098 46492 69738 92196 104607 139476 151099 209214 302198 418428 453297 604396 906594 1359891 1813188 2395433 2719782 4790866 5439564 7186299 9581732 14372598 21558897 28745196 31140629 43117794 62281258 86235588 93421887 124562516 141330547 186843774 280265661 282661094 373687548 423991641 471900301 560531322 565322188 847983282 943800602 1121062644 1271974923 1415700903 1695966564 1837297111 1887601204 2543949846 2831401806 3674594222 4247102709 5087899692 5511891333 5662803612 6134703913 7349188444 8494205418 11023782666 12269407826 16535673999 16988410836 18404111739 22047565332 24538815652 27842117759 33071347998 36808223478 55212335217 55684235518 66142695996 73616446956 83526353277 110424670434 111368471036 167052706554 220849340868 250579059831 334105413108 361947530867 501158119662 723895061734 1002316239324 1085842592601 1447790123468 2171685185202 3257527777803 4343370370404 6515055555606 13030111111212