Search a number
-
+
13120202101032 = 23321379177434303
BaseRepresentation
bin1011111011101100100011…
…1111000101000100101000
31201110021112102221221021100
42332323020333011010220
53204430133214213112
643523200532441400
72522621560531545
oct276731077050450
951407472857240
1013120202101032
1141a9279052364
12157a949179260
137422ca9b41a0
14335042139bcc
1517b44725e2dc
hexbeec8fc5128

13120202101032 has 96 divisors (see below), whose sum is σ = 38751651993600. Its totient is φ = 3985884160128.

The previous prime is 13120202101021. The next prime is 13120202101033. The reversal of 13120202101032 is 23010120202131.

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

It is a junction number, because it is equal to n+sod(n) for n = 13120202100996 and 13120202101014.

It is not an unprimeable number, because it can be changed into a prime (13120202101033) 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 23 ways as a sum of consecutive naturals, for example, 88643208 + ... + 88791095.

It is an arithmetic number, because the mean of its divisors is an integer number (403663041600).

Almost surely, 213120202101032 is an apocalyptic number.

13120202101032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13120202101032 is an abundant number, since it is smaller than the sum of its proper divisors (25631449892568).

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

13120202101032 is a wasteful number, since it uses less digits than its factorization.

13120202101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177434407 (or 177434400 counting only the distinct ones).

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

Adding to 13120202101032 its reverse (23010120202131), we get a palindrome (36130322303163).

The spelling of 13120202101032 in words is "thirteen trillion, one hundred twenty billion, two hundred two million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 79 104 117 156 158 234 237 312 316 468 474 632 711 936 948 1027 1422 1896 2054 2844 3081 4108 5688 6162 8216 9243 12324 18486 24648 36972 73944 177434303 354868606 532302909 709737212 1064605818 1419474424 1596908727 2129211636 2306645939 3193817454 4258423272 4613291878 6387634908 6919937817 9226583756 12775269816 13839875634 14017309937 18453167512 20759813451 27679751268 28034619874 41519626902 42051929811 55359502536 56069239748 83039253804 84103859622 112138479496 126155789433 166078507608 168207719244 182225029181 252311578866 336415438488 364450058362 504623157732 546675087543 728900116724 1009246315464 1093350175086 1457800233448 1640025262629 2186700350172 3280050525258 4373400700344 6560101050516 13120202101032