Search a number
-
+
132112404211230 = 232519531457711621
BaseRepresentation
bin11110000010011111010000…
…111011000110011000011110
3122022202211012121012200220100
4132002133100323012120132
5114304012200434224410
61144551333423201530
736553543351223262
oct3602372073063036
9568684177180810
10132112404211230
1139105613017653
1212998328a462a6
1358941b9447b41
14248a3bb26a0a2
1510418307778c0
hex7827d0ec661e

132112404211230 has 96 divisors (see below), whose sum is σ = 368392881111840. Its totient is φ = 32746033831680.

The previous prime is 132112404211217. The next prime is 132112404211259. The reversal of 132112404211230 is 32112404211231.

132112404211230 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 2 + 4 + 0 + 421 + 1 + 230 = 666.

132112404211230 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1321124042112302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132112404211194 and 132112404211203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728765181 + ... + 728946440.

It is an arithmetic number, because the mean of its divisors is an integer number (3837425844915).

Almost surely, 2132112404211230 is an apocalyptic number.

132112404211230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132112404211230 is an abundant number, since it is smaller than the sum of its proper divisors (236280476900610).

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

132112404211230 is a wasteful number, since it uses less digits than its factorization.

132112404211230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457711706 (or 1457711703 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 132112404211230 its reverse (32112404211231), we get a palindrome (164224808422461).

Subtracting from 132112404211230 its reverse (32112404211231), we obtain a palindrome (99999999999999).

The spelling of 132112404211230 in words is "one hundred thirty-two trillion, one hundred twelve billion, four hundred four million, two hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 53 57 90 95 106 114 159 171 190 265 285 318 342 477 530 570 795 855 954 1007 1590 1710 2014 2385 3021 4770 5035 6042 9063 10070 15105 18126 30210 45315 90630 1457711621 2915423242 4373134863 7288558105 8746269726 13119404589 14577116210 21865674315 26238809178 27696520799 43731348630 55393041598 65597022945 77258715913 83089562397 131194045890 138482603995 154517431826 166179124794 231776147739 249268687191 276965207990 386293579565 415447811985 463552295478 498537374382 695328443217 772587159130 830895623970 1158880738695 1246343435955 1390656886434 1467915602347 2317761477390 2492686871910 2935831204694 3476642216085 4403746807041 6953284432170 7339578011735 8807493614082 13211240421123 14679156023470 22018734035205 26422480842246 44037468070410 66056202105615 132112404211230