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153305533100132 = 227192967611469729
BaseRepresentation
bin100010110110111000111001…
…110101111011000001100100
3202002210212101012011201002022
4202312320321311323001210
5130043224212433201012
61302015331210202312
744201650011414320
oct4266707165730144
9662725335151068
10153305533100132
114493656984a266
121523b780a23398
13677085a62a45a
1429c0055246980
1512acc66e8e472
hex8b6e39d7b064

153305533100132 has 96 divisors (see below), whose sum is σ = 333927359136000. Its totient is φ = 60089065021440.

The previous prime is 153305533100119. The next prime is 153305533100141. The reversal of 153305533100132 is 231001335503351.

It is a junction number, because it is equal to n+sod(n) for n = 153305533100092 and 153305533100101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103573844 + ... + 105043572.

It is an arithmetic number, because the mean of its divisors is an integer number (3478409991000).

Almost surely, 2153305533100132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153305533100132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166963679568000).

153305533100132 is an abundant number, since it is smaller than the sum of its proper divisors (180621826035868).

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

153305533100132 is a wasteful number, since it uses less digits than its factorization.

153305533100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476549 (or 1476547 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 35.

Adding to 153305533100132 its reverse (231001335503351), we get a palindrome (384306868603483).

The spelling of 153305533100132 in words is "one hundred fifty-three trillion, three hundred five billion, five hundred thirty-three million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 203 266 406 532 551 812 1102 2204 3857 6761 7714 13522 15428 27044 47327 94654 128459 189308 196069 256918 392138 513836 784276 899213 1372483 1469729 1798426 2744966 2939458 3596852 3725311 5489932 5878916 7450622 10288103 14901244 20576206 26077177 27924851 41152412 42622141 52154354 55849702 85244282 104308708 111699404 170488564 195473957 298354987 390947914 596709974 781895828 809820679 1193419948 1619641358 3239282716 5668744753 9936837769 11337489506 19873675538 22674979012 39747351076 69557864383 139115728766 188799917611 278231457532 288168295301 377599835222 576336590602 755199670444 1152673181204 1321599423277 2017178067107 2643198846554 4034356134214 5286397693108 5475197610719 8068712268428 10950395221438 21900790442876 38326383275033 76652766550066 153305533100132