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132211110320010 = 23356715746551077
BaseRepresentation
bin11110000011111011001100…
…010001000001011110001010
3122100010020222121011120002000
4132003323030101001132022
5114312121323220220020
61145104540125451430
736563636364263211
oct3603731421013612
9570106877146060
10132211110320010
1139143465048067
12129b3495410b76
1358a05b9b7ac77
1424910a251a078
1510441ab0cc090
hex783ecc44178a

132211110320010 has 128 divisors (see below), whose sum is σ = 360104243063040. Its totient is φ = 34508871251712.

The previous prime is 132211110319993. The next prime is 132211110320017. The reversal of 132211110320010 is 10023011112231.

132211110320010 is a `hidden beast` number, since 1 + 3 + 221 + 1 + 110 + 320 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132211110320017) 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, 20435409 + ... + 26115668.

It is an arithmetic number, because the mean of its divisors is an integer number (2813314398930).

Almost surely, 2132211110320010 is an apocalyptic number.

132211110320010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132211110320010 is an abundant number, since it is smaller than the sum of its proper divisors (227893132743030).

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

132211110320010 is a wasteful number, since it uses less digits than its factorization.

132211110320010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46551317 (or 46551311 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 132211110320010 its reverse (10023011112231), we get a palindrome (142234121432241).

The spelling of 132211110320010 in words is "one hundred thirty-two trillion, two hundred eleven billion, one hundred ten million, three hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 134 135 157 201 270 314 335 402 471 603 670 785 942 1005 1206 1413 1570 1809 2010 2355 2826 3015 3618 4239 4710 6030 7065 8478 9045 10519 14130 18090 21038 21195 31557 42390 52595 63114 94671 105190 157785 189342 284013 315570 473355 568026 946710 1420065 2840130 46551077 93102154 139653231 232755385 279306462 418959693 465510770 698266155 837919386 1256879079 1396532310 2094798465 2513758158 3118922159 4189596930 6237844318 6284395395 7308519089 9356766477 12568790790 14617038178 15594610795 18713532954 21925557267 28070299431 31189221590 36542595445 43851114534 46783832385 56140598862 65776671801 73085190890 84210898293 93567664770 109627786335 131553343602 140351497155 168421796586 197330015403 219255572670 280702994310 328883359005 394660030806 421054491465 489670778963 657766718010 842108982930 979341557926 986650077015 1469012336889 1973300154030 2448353894815 2938024673778 4407037010667 4896707789630 7345061684445 8814074021334 13221111032001 14690123368890 22035185053335 26442222064002 44070370106670 66105555160005 132211110320010