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132120204421310 = 25723193425192947
BaseRepresentation
bin11110000010100110100001…
…110110100010100010111110
3122022210120100012200102112222
4132002212201312202202332
5114304124134312440220
61144555103424525342
736554240555012450
oct3602464166424276
9568716305612488
10132120204421310
1139108956035966
1212999945180852
135894b60478471
14248a91b1a82d0
151041b3a45ae25
hex7829a1da28be

132120204421310 has 64 divisors (see below), whose sum is σ = 285076564687872. Its totient is φ = 43104360093696.

The previous prime is 132120204421291. The next prime is 132120204421327. The reversal of 132120204421310 is 13124402021231.

It is a happy number.

It is a super-2 number, since 2×1321202044213102 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132120204421310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212285744 + ... + 212907203.

It is an arithmetic number, because the mean of its divisors is an integer number (4454321323248).

Almost surely, 2132120204421310 is an apocalyptic number.

132120204421310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132120204421310 is an abundant number, since it is smaller than the sum of its proper divisors (152956360266562).

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

132120204421310 is a wasteful number, since it uses less digits than its factorization.

132120204421310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425193177.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 132120204421310 its reverse (13124402021231), we get a palindrome (145244606442541).

The spelling of 132120204421310 in words is "one hundred thirty-two trillion, one hundred twenty billion, two hundred four million, four hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 193 230 322 386 805 965 1351 1610 1930 2702 4439 6755 8878 13510 22195 31073 44390 62146 155365 310730 425192947 850385894 2125964735 2976350629 4251929470 5952701258 9779437781 14881753145 19558875562 29763506290 48897188905 68456064467 82062238771 97794377810 136912128934 164124477542 342280322335 410311193855 574435671397 684560644670 820622387710 1148871342794 1887431491733 2872178356985 3774862983466 5744356713970 9437157458665 13212020442131 18874314917330 26424040884262 66060102210655 132120204421310