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32101300213131 = 3173760734638093
BaseRepresentation
bin1110100110010001010101…
…00110001001010110001011
311012122212001210202121210210
413103020222212021112023
513201421430323310011
6152135044515212203
76522146100451512
oct723105246112613
9135585053677723
1032101300213131
11a2570a3100346
1237255445a7063
1314bb1a7994026
147cd9d5835679
153aa0662246a6
hex1d322a98958b

32101300213131 has 64 divisors (see below), whose sum is σ = 46640237764608. Its totient is φ = 19557261416448.

The previous prime is 32101300213061. The next prime is 32101300213219. The reversal of 32101300213131 is 13131200310123.

It is a happy number.

It is not a de Polignac number, because 32101300213131 - 214 = 32101300196747 is a prime.

It is a super-2 number, since 2×321013002131312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32101300213098 and 32101300213107.

It is not an unprimeable number, because it can be changed into a prime (32101300213831) 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, 3966547321 + ... + 3966555413.

It is an arithmetic number, because the mean of its divisors is an integer number (728753715072).

Almost surely, 232101300213131 is an apocalyptic number.

32101300213131 is a deficient number, since it is larger than the sum of its proper divisors (14538937551477).

32101300213131 is a wasteful number, since it uses less digits than its factorization.

32101300213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12220.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 32101300213131 its reverse (13131200310123), we get a palindrome (45232500523254).

The spelling of 32101300213131 in words is "thirty-two trillion, one hundred one billion, three hundred million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 17 37 51 111 607 629 1821 1887 3463 8093 10319 10389 22459 24279 30957 58871 67377 128131 137581 176613 299441 381803 384393 412743 898323 1145409 2102041 2178227 4912451 5090497 6306123 6534681 14737353 15271491 28026059 35734697 77775517 83511667 84078177 107204091 181760687 233326551 250535001 476443003 545282061 1036964183 1322183789 1429329009 3089931679 3110892549 3966551367 9269795037 17011817813 17628391111 51035453439 52885173333 289200902821 629437259081 867602708463 1888311777243 10700433404377 32101300213131