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32113132100330 = 25296113735337537
BaseRepresentation
bin1110100110100111010111…
…10101001101101011101010
311012200222121101112202202012
413103103223311031223222
513202120143304202310
6152144322541435522
76523045231026461
oct723235365155352
9135628541482665
1032113132100330
11a261114979316
1237278a6b6bba2
1314bc342057508
147d03d8db19d8
153aa509d38c05
hex1d34ebd4daea

32113132100330 has 128 divisors (see below), whose sum is σ = 61395837468480. Its totient is φ = 12075325194240.

The previous prime is 32113132100321. The next prime is 32113132100339. The reversal of 32113132100330 is 3300123131123.

It is an interprime number because it is at equal distance from previous prime (32113132100321) and next prime (32113132100339).

It can be written as a sum of positive squares in 32 ways, for example, as 4930766804089 + 27182365296241 = 2220533^2 + 5213671^2 .

It is a super-2 number, since 2×321131321003302 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32113132100296 and 32113132100305.

It is not an unprimeable number, because it can be changed into a prime (32113132100339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 855487322 + ... + 855524858.

Almost surely, 232113132100330 is an apocalyptic number.

32113132100330 is a deficient number, since it is larger than the sum of its proper divisors (29282705368150).

32113132100330 is a wasteful number, since it uses less digits than its factorization.

32113132100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38124.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 32113132100330 its reverse (3300123131123), we get a palindrome (35413255231453).

The spelling of 32113132100330 in words is "thirty-two trillion, one hundred thirteen billion, one hundred thirty-two million, one hundred thousand, three hundred thirty".

Divisors: 1 2 5 10 29 58 61 122 137 145 274 290 305 353 610 685 706 1370 1765 1769 3530 3538 3973 7946 8357 8845 10237 16714 17690 19865 20474 21533 37537 39730 41785 43066 48361 51185 75074 83570 96722 102370 107665 187685 215330 241805 242353 375370 483610 484706 624457 1088573 1211765 1248914 1402469 2177146 2289757 2423530 2804938 2950021 3122285 4579514 5142569 5442865 5900042 6244570 7012345 10285138 10885730 11448785 13250561 14024690 14750105 22897570 25712845 26501122 29500210 51425690 66252805 66402953 85550609 132505610 132805906 149134501 171101218 298269002 313696709 332014765 384266269 427753045 627393418 664029530 745672505 768532538 808284221 855506090 1491345010 1568483545 1616568442 1815326857 1921331345 3136967090 3630653714 3842662690 4041421105 8082842210 9076634285 9097204561 18153268570 18194409122 23440242409 45486022805 46880484818 52644478853 90972045610 105288957706 110734938277 117201212045 221469876554 234402424090 263222394265 526444788530 553674691385 1107349382770 3211313210033 6422626420066 16056566050165 32113132100330