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32131233030 = 23513596312213
BaseRepresentation
bin11101111011001010…
…111011010100000110
310001221021120202110210
4131323022323110012
51011301043424110
622432203500250
72215145655141
oct357312732406
9101837522423
1032131233030
1112699274a46
126288827686
133050a9a230
1417ab505058
15c80cb0520
hex77b2bb506

32131233030 has 128 divisors (see below), whose sum is σ = 84626519040. Its totient is φ = 7759342080.

The previous prime is 32131233023. The next prime is 32131233053. The reversal of 32131233030 is 3033213123.

It is a super-2 number, since 2×321312330302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32131232988 and 32131233006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14518204 + ... + 14520416.

It is an arithmetic number, because the mean of its divisors is an integer number (661144680).

Almost surely, 232131233030 is an apocalyptic number.

32131233030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32131233030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42313259520).

32131233030 is an abundant number, since it is smaller than the sum of its proper divisors (52495286010).

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

32131233030 is a wasteful number, since it uses less digits than its factorization.

32131233030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 32131233030 its reverse (3033213123), we get a palindrome (35164446153).

The spelling of 32131233030 in words is "thirty-two billion, one hundred thirty-one million, two hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 59 65 78 118 130 177 195 295 354 390 590 631 767 885 1262 1534 1770 1893 2213 2301 3155 3786 3835 4426 4602 6310 6639 7670 8203 9465 11065 11505 13278 16406 18930 22130 23010 24609 28769 33195 37229 41015 49218 57538 66390 74458 82030 86307 111687 123045 130567 143845 172614 186145 223374 246090 261134 287690 372290 391701 431535 483977 558435 652835 783402 863070 967954 1116870 1305670 1396403 1451931 1697371 1958505 2419885 2792806 2903862 3394742 3917010 4189209 4839770 5092113 6982015 7259655 8378418 8486855 10184226 13964030 14519310 16973710 18153239 20946045 25460565 36306478 41892090 50921130 54459717 82387777 90766195 108919434 164775554 181532390 247163331 272298585 411938885 494326662 544597170 823877770 1071041101 1235816655 2142082202 2471633310 3213123303 5355205505 6426246606 10710411010 16065616515 32131233030