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151134523320 = 2335111117102503
BaseRepresentation
bin1000110011000001010…
…0011100111110111000
3112110002211021021021210
42030300110130332320
54434010414221240
6153232533203120
713630153152264
oct2146024347670
9473084237253
10151134523320
1159106553330
122535a7904a0
1311337629c31
14745a3190a4
153de84d4780
hex233051cfb8

151134523320 has 128 divisors (see below), whose sum is σ = 495069719040. Its totient is φ = 36605514240.

The previous prime is 151134523303. The next prime is 151134523321. The reversal of 151134523320 is 23325431151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151134523321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1423189 + ... + 1525691.

It is an arithmetic number, because the mean of its divisors is an integer number (3867732180).

Almost surely, 2151134523320 is an apocalyptic number.

151134523320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151134523320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247534859520).

151134523320 is an abundant number, since it is smaller than the sum of its proper divisors (343935195720).

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

151134523320 is a wasteful number, since it uses less digits than its factorization.

151134523320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103645 (or 103641 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 151134523320 its reverse (23325431151), we get a palindrome (174459954471).

The spelling of 151134523320 in words is "one hundred fifty-one billion, one hundred thirty-four million, five hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1117 1320 2234 3351 4468 5585 6702 8936 11170 12287 13404 16755 22340 24574 26808 33510 36861 44680 49148 61435 67020 73722 98296 102503 122870 134040 147444 184305 205006 245740 294888 307509 368610 410012 491480 512515 615018 737220 820024 1025030 1127533 1230036 1474440 1537545 2050060 2255066 2460072 3075090 3382599 4100120 4510132 5637665 6150180 6765198 9020264 11275330 12300360 13530396 16912995 22550660 27060792 33825990 45101320 67651980 114495851 135303960 228991702 343487553 457983404 572479255 686975106 915966808 1144958510 1259454361 1373950212 1717437765 2289917020 2518908722 2747900424 3434875530 3778363083 4579834040 5037817444 6297271805 6869751060 7556726166 10075634888 12594543610 13739502120 15113452332 18891815415 25189087220 30226904664 37783630830 50378174440 75567261660 151134523320