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132022331331000 = 23353114785120781
BaseRepresentation
bin11110000001001011011000…
…001010010101000110111000
3122022110012201021012021220020
4132001023120022111012320
5114301023213310043000
61144442115520530440
736544204305326025
oct3601133012250670
9568405637167806
10132022331331000
11390803a1248570
121298298b780a20
1358888634b9086
142485cb47da54c
15103e30cd01ba0
hex7812d82951b8

132022331331000 has 256 divisors, whose sum is σ = 458916779243520. Its totient is φ = 31324447040000.

The previous prime is 132022331330957. The next prime is 132022331331001. The reversal of 132022331331000 is 133133220231.

It is a super-2 number, since 2×1320223313310002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132022331331001) 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, 41009391 + ... + 44111390.

It is an arithmetic number, because the mean of its divisors is an integer number (1792643668920).

Almost surely, 2132022331331000 is an apocalyptic number.

132022331331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132022331331000 is an abundant number, since it is smaller than the sum of its proper divisors (326894447912520).

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

132022331331000 is a wasteful number, since it uses less digits than its factorization.

132022331331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85120863 (or 85120849 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132022331331000 its reverse (133133220231), we get a palindrome (132155464551231).

The spelling of 132022331331000 in words is "one hundred thirty-two trillion, twenty-two billion, three hundred thirty-one million, three hundred thirty-one thousand".