Search a number
-
+
100132544050224 = 24371451920525761
BaseRepresentation
bin10110110001000111101100…
…101101111111010000110000
3111010112120121011022220201220
4112301013230231333100300
5101111032422234101344
6552544131121425040
730043223534032530
oct2661075455772060
9433476534286656
10100132544050224
11299a5a78736954
12b29243649b180
1343b45c610112a
141aa26261174c0
15b89a25b60c19
hex5b11ecb7f430

100132544050224 has 80 divisors (see below), whose sum is σ = 295649791726080. Its totient is φ = 28607326433280.

The previous prime is 100132544050207. The next prime is 100132544050249. The reversal of 100132544050224 is 422050445231001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5384497 + ... + 15141264.

It is an arithmetic number, because the mean of its divisors is an integer number (3695622396576).

Almost surely, 2100132544050224 is an apocalyptic number.

100132544050224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100132544050224 is an abundant number, since it is smaller than the sum of its proper divisors (195517247675856).

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

100132544050224 is a wasteful number, since it uses less digits than its factorization.

100132544050224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20540298 (or 20540292 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 100132544050224 its reverse (422050445231001), we get a palindrome (522182989281225).

The spelling of 100132544050224 in words is "one hundred trillion, one hundred thirty-two billion, five hundred forty-four million, fifty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 14519 29038 43557 58076 87114 101633 116152 174228 203266 232304 304899 348456 406532 609798 696912 813064 1219596 1626128 2439192 4878384 20525761 41051522 61577283 82103044 123154566 143680327 164206088 246309132 287360654 328412176 431040981 492618264 574721308 862081962 985236528 1149442616 1724163924 2298885232 3448327848 6896655696 298013523959 596027047918 894040571877 1192054095836 1788081143754 2086094667713 2384108191672 3576162287508 4172189335426 4768216383344 6258284003139 7152324575016 8344378670852 12516568006278 14304649150032 16688757341704 25033136012556 33377514683408 50066272025112 100132544050224