Search a number
-
+
13001111112220 = 22571112917653579
BaseRepresentation
bin1011110100110000111010…
…0111000000101000011100
31201000220010210020212200221
42331030032213000220130
53201002233421042340
643352343351331124
72511204440035540
oct275141647005034
951026123225627
1013001111112220
114162816314860
12155b851980aa4
13733ccbc29c7a
1432d385817a20
151782c6eb544a
hexbd30e9c0a1c

13001111112220 has 96 divisors (see below), whose sum is σ = 34041960046080. Its totient is φ = 4051974455040.

The previous prime is 13001111112161. The next prime is 13001111112221. The reversal of 13001111112220 is 2221111110031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13001111112194 and 13001111112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001111112221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19565391 + ... + 20218969.

It is an arithmetic number, because the mean of its divisors is an integer number (354603750480).

Almost surely, 213001111112220 is an apocalyptic number.

13001111112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001111112220 is an abundant number, since it is smaller than the sum of its proper divisors (21040848933860).

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

13001111112220 is a wasteful number, since it uses less digits than its factorization.

13001111112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666523 (or 666521 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 13001111112220 its reverse (2221111110031), we get a palindrome (15222222222251).

The spelling of 13001111112220 in words is "thirteen trillion, one billion, one hundred eleven million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 12917 25834 51668 64585 90419 129170 142087 180838 258340 284174 361676 452095 568348 653579 710435 904190 994609 1307158 1420870 1808380 1989218 2614316 2841740 3267895 3978436 4575053 4973045 6535790 7189369 9150106 9946090 13071580 14378738 18300212 19892180 22875265 28757476 35946845 45750530 50325583 71893690 91501060 100651166 143787380 201302332 251627915 503255830 1006511660 8442279943 16884559886 33769119772 42211399715 59095959601 84422799430 92865079373 118191919202 168845598860 185730158746 236383838404 295479798005 371460317492 464325396865 590959596010 650055555611 928650793730 1181919192020 1300111111222 1857301587460 2600222222444 3250277778055 6500555556110 13001111112220