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10304234033058 = 2327432053926377
BaseRepresentation
bin1001010111110010010000…
…1101011000111110100010
31100111002000210020110000200
42111330210031120332202
52322311032403024213
633525411052130030
72112312345064440
oct225744415307642
940432023213020
1010304234033058
113313001531a99
1211a5043166916
135998ba21a724
14278a28705b90
1512d0841a5273
hex95f24358fa2

10304234033058 has 96 divisors (see below), whose sum is σ = 26121369495936. Its totient is φ = 2874196410624.

The previous prime is 10304234033033. The next prime is 10304234033059. The reversal of 10304234033058 is 85033043240301.

10304234033058 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 4 + 2 + 340 + 3 + 305 + 8 = 666.

10304234033058 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103042340330583 (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10304234033059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10659966 + ... + 11586342.

It is an arithmetic number, because the mean of its divisors is an integer number (272097598916).

Almost surely, 210304234033058 is an apocalyptic number.

10304234033058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304234033058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13060684747968).

10304234033058 is an abundant number, since it is smaller than the sum of its proper divisors (15817135462878).

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

10304234033058 is a wasteful number, since it uses less digits than its factorization.

10304234033058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928488 (or 928485 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 10304234033058 its reverse (85033043240301), we get a palindrome (95337277273359).

The spelling of 10304234033058 in words is "ten trillion, three hundred four billion, two hundred thirty-four million, thirty-three thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2053 2709 4106 5418 6159 12318 14371 18477 28742 36954 43113 86226 88279 129339 176558 258678 264837 529674 617953 794511 926377 1235906 1589022 1852754 1853859 2779131 3707718 5558262 5561577 6484639 8337393 11123154 12969278 16674786 19453917 38907834 39834211 58361751 79668422 116723502 119502633 239005266 278839477 358507899 557678954 717015798 836518431 1673036862 1901851981 2509555293 3803703962 5019110586 5705555943 11411111886 13312963867 17116667829 26625927734 34233335658 39938891601 79877783202 81779635183 119816674803 163559270366 239633349606 245338905549 490677811098 572457446281 736016716647 1144914892562 1472033433294 1717372338843 3434744677686 5152117016529 10304234033058