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133132112124 = 2231110145721851
BaseRepresentation
bin111101111111101001…
…0101101000011111100
3110201122012120000201120
41323333102231003330
54140123310041444
6141054323110540
712422065165404
oct1737722550374
9421565500646
10133132112124
1151508674350
1221975812450
13c728a6400b
14662d461804
1536e2d01b19
hex1eff4ad0fc

133132112124 has 96 divisors (see below), whose sum is σ = 343001578752. Its totient is φ = 39854400000.

The previous prime is 133132112119. The next prime is 133132112131. The reversal of 133132112124 is 421211231331.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133132112094 and 133132112103.

It is a congruent number.

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, 6081799 + ... + 6103649.

It is an arithmetic number, because the mean of its divisors is an integer number (3572933112).

Almost surely, 2133132112124 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 133132112124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171500789376).

133132112124 is an abundant number, since it is smaller than the sum of its proper divisors (209869466628).

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

133132112124 is a wasteful number, since it uses less digits than its factorization.

133132112124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22427 (or 22425 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 133132112124 its reverse (421211231331), we get a palindrome (554343343455).

The spelling of 133132112124 in words is "one hundred thirty-three billion, one hundred thirty-two million, one hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 457 606 914 1111 1212 1371 1828 2222 2742 3333 4444 5027 5484 6666 10054 13332 15081 20108 21851 30162 43702 46157 60324 65553 87404 92314 131106 138471 184628 240361 262212 276942 480722 507727 553884 721083 961444 1015454 1442166 1523181 2030908 2206951 2884332 3046362 4413902 6092724 6620853 8827804 9985907 13241706 19971814 24276461 26483412 29957721 39943628 48552922 59915442 72829383 97105844 109844977 119830884 145658766 219689954 291317532 329534931 439379908 659069862 1008576607 1318139724 2017153214 3025729821 4034306428 6051459642 11094342677 12102919284 22188685354 33283028031 44377370708 66566056062 133132112124