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151165122200 = 235241153112041
BaseRepresentation
bin1000110011001000100…
…1001011011010011000
3112110011221211212001122
42030302021023122120
54434041232402300
6153235545104412
713631004223661
oct2146211133230
9473157755048
10151165122200
1159121852764
1225368a88108
1311340a81691
147460402368
153deb02ac85
hex233224b698

151165122200 has 96 divisors (see below), whose sum is σ = 360296158320. Its totient is φ = 58947840000.

The previous prime is 151165122139. The next prime is 151165122217. The reversal of 151165122200 is 2221561151.

It is a self number, because there is not a number n which added to its sum of digits gives 151165122200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12548180 + ... + 12560220.

Almost surely, 2151165122200 is an apocalyptic number.

151165122200 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 151165122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180148079160).

151165122200 is an abundant number, since it is smaller than the sum of its proper divisors (209131036120).

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

151165122200 is a wasteful number, since it uses less digits than its factorization.

151165122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13629 (or 13620 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 151165122200 its reverse (2221561151), we get a palindrome (153386683351).

The spelling of 151165122200 in words is "one hundred fifty-one billion, one hundred sixty-five million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1531 1640 2050 3062 4100 6124 7655 8200 12041 12248 15310 24082 30620 38275 48164 60205 61240 62771 76550 96328 120410 125542 153100 240820 251084 301025 306200 313855 481640 493681 502168 602050 627710 987362 1204100 1255420 1569275 1974724 2408200 2468405 2510840 3138550 3949448 4936810 6277100 9873620 12342025 12554200 18434771 19747240 24684050 36869542 49368100 73739084 92173855 98736200 147478168 184347710 368695420 460869275 737390840 755825611 921738550 1511651222 1843477100 3023302444 3686954200 3779128055 6046604888 7558256110 15116512220 18895640275 30233024440 37791280550 75582561100 151165122200