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151303200120 = 23325493385199
BaseRepresentation
bin1000110011101001011…
…1111001110101111000
3112110112120122221100200
42030322113321311320
54434332104400440
6153301400402200
713634301660342
oct2147227716570
9473476587320
10151303200120
1159192791746
12253a7176360
1311363567ba7
1474748a6292
153e08202c30
hex233a5f9d78

151303200120 has 96 divisors (see below), whose sum is σ = 491840856000. Its totient is φ = 40338867456.

The previous prime is 151303200107. The next prime is 151303200127. The reversal of 151303200120 is 21002303151.

151303200120 is a `hidden beast` number, since 1 + 513 + 0 + 32 + 0 + 0 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 151303200093 and 151303200102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151303200127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1733281 + ... + 1818479.

It is an arithmetic number, because the mean of its divisors is an integer number (5123342250).

Almost surely, 2151303200120 is an apocalyptic number.

151303200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151303200120 is an abundant number, since it is smaller than the sum of its proper divisors (340537655880).

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

151303200120 is a wasteful number, since it uses less digits than its factorization.

151303200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90149 (or 90142 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 151303200120 its reverse (21002303151), we get a palindrome (172305503271).

The spelling of 151303200120 in words is "one hundred fifty-one billion, three hundred three million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4933 9866 14799 19732 24665 29598 39464 44397 49330 59196 73995 85199 88794 98660 118392 147990 170398 177588 197320 221985 255597 295980 340796 355176 425995 443970 511194 591960 681592 766791 851990 887940 1022388 1277985 1533582 1703980 1775880 2044776 2555970 3067164 3407960 3833955 5111940 6134328 7667910 10223880 15335820 30671640 420286667 840573334 1260860001 1681146668 2101433335 2521720002 3362293336 3782580003 4202866670 5043440004 6304300005 7565160006 8405733340 10086880008 12608600010 15130320012 16811466680 18912900015 25217200020 30260640024 37825800030 50434400040 75651600060 151303200120