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13232101032 = 233483347709
BaseRepresentation
bin11000101001011000…
…11101011010101000
31021011011112101020000
430110230131122220
5204044404213112
610025001503000
7645622001013
oct142454353250
937134471200
1013232101032
1156801a3397
1226934a1a60
13132b4b83a7
148d750637a
155269ec7dc
hex314b1d6a8

13232101032 has 160 divisors (see below), whose sum is σ = 37669816800. Its totient is φ = 4338873216.

The previous prime is 13232101031. The next prime is 13232101033. The reversal of 13232101032 is 23010123231.

It is an interprime number because it is at equal distance from previous prime (13232101031) and next prime (13232101033).

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 = 13232100996 and 13232101014.

It is not an unprimeable number, because it can be changed into a prime (13232101031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18662694 + ... + 18663402.

It is an arithmetic number, because the mean of its divisors is an integer number (235436355).

Almost surely, 213232101032 is an apocalyptic number.

13232101032 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 13232101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18834908400).

13232101032 is an abundant number, since it is smaller than the sum of its proper divisors (24437715768).

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

13232101032 is a wasteful number, since it uses less digits than its factorization.

13232101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13232101032 its reverse (23010123231), we get a palindrome (36242224263).

The spelling of 13232101032 in words is "thirteen billion, two hundred thirty-two million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 249 324 332 347 498 648 664 694 709 747 996 1041 1388 1418 1494 1992 2082 2127 2241 2776 2836 2988 3123 4164 4254 4482 5672 5976 6246 6381 6723 8328 8508 8964 9369 12492 12762 13446 17016 17928 18738 19143 24984 25524 26892 28107 28801 37476 38286 51048 53784 56214 57429 57602 58847 74952 76572 86403 112428 114858 115204 117694 153144 172806 176541 224856 229716 230408 235388 246023 259209 345612 353082 459432 470776 492046 518418 529623 691224 706164 738069 777627 984092 1036836 1059246 1412328 1476138 1555254 1588869 1968184 2073672 2118492 2214207 2332881 2952276 3110508 3177738 4236984 4428414 4665762 4766607 5904552 6221016 6355476 6642621 8856828 9331524 9533214 12710952 13285242 17713656 18663048 19066428 19927863 20419909 26570484 38132856 39855726 40839818 53140968 61259727 79711452 81679636 122519454 159422904 163359272 183779181 245038908 367558362 490077816 551337543 735116724 1102675086 1470233448 1654012629 2205350172 3308025258 4410700344 6616050516 13232101032