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133021231434 = 232713143356671
BaseRepresentation
bin111101111100010101…
…1101110100101001010
3110201100110220201000100
41323320223232211022
54134411413401214
6141035322350230
712416250545160
oct1737053564512
9421313821010
10133021231434
1151461021013
122194465b376
13c70bab0b40
14661c83b230
1536d81ed309
hex1ef8aee94a

133021231434 has 96 divisors (see below), whose sum is σ = 354977086464. Its totient is φ = 35057422080.

The previous prime is 133021231403. The next prime is 133021231481. The reversal of 133021231434 is 434132120331.

It is a happy number.

133021231434 is a `hidden beast` number, since 1 + 3 + 302 + 12 + 314 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133021231398 and 133021231407.

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, 2318919 + ... + 2375589.

It is an arithmetic number, because the mean of its divisors is an integer number (3697677984).

Almost surely, 2133021231434 is an apocalyptic number.

133021231434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133021231434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177488543232).

133021231434 is an abundant number, since it is smaller than the sum of its proper divisors (221955855030).

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

133021231434 is a wasteful number, since it uses less digits than its factorization.

133021231434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58132 (or 58129 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133021231434 its reverse (434132120331), we get a palindrome (567153351765).

The spelling of 133021231434 in words is "one hundred thirty-three billion, twenty-one million, two hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1433 1638 2866 4299 8598 10031 12897 18629 20062 25794 30093 37258 55887 56671 60186 90279 111774 113342 130403 167661 170013 180558 260806 335322 340026 391209 396697 510039 736723 782418 793394 1020078 1173627 1190091 1473446 2210169 2347254 2380182 3570273 4420338 5157061 6630507 7140546 10314122 13261014 15471183 30942366 46413549 81209543 92827098 162419086 243628629 487257258 568466801 730885887 1055724059 1136933602 1461771774 1705400403 2111448118 3167172177 3410800806 5116201209 6334344354 7390068413 9501516531 10232402418 14780136826 19003033062 22170205239 44340410478 66510615717 133021231434