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42103332132120 = 23335715136882277
BaseRepresentation
bin10011001001010111100100…
…01001111101010100011000
312112002001001121102001111000
421210223302021331110120
521004310111011211440
6225314000451305000
711603602551141150
oct1144536211752430
9175061047361430
1042103332132120
1112462a173a2156
12487baa88ab160
131a65433a9117c
14a57b5276b760
154d030e732730
hex264af227d518

42103332132120 has 256 divisors, whose sum is σ = 161455860172800. Its totient is φ = 9559885939200.

The previous prime is 42103332132097. The next prime is 42103332132143. The reversal of 42103332132120 is 2123123330124.

42103332132120 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 3 + 332 + 1 + 321 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42103332132097) and next prime (42103332132143).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17299579 + ... + 19582698.

It is an arithmetic number, because the mean of its divisors is an integer number (630686953800).

Almost surely, 242103332132120 is an apocalyptic number.

42103332132120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42103332132120 is an abundant number, since it is smaller than the sum of its proper divisors (119352528040680).

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

42103332132120 is a wasteful number, since it uses less digits than its factorization.

42103332132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36882455 (or 36882445 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 42103332132120 its reverse (2123123330124), we get a palindrome (44226455462244).

The spelling of 42103332132120 in words is "forty-two trillion, one hundred three billion, three hundred thirty-two million, one hundred thirty-two thousand, one hundred twenty".