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150330001032 = 233331179125423
BaseRepresentation
bin1000110000000001011…
…1011100011010001000
3112101000202102022012000
42030000113130122020
54430333440013112
6153021033351000
713601213632251
oct2140027343210
9471022368160
10150330001032
1158833403882
1225175268460
1311239a52843
1473c1533b28
153d9ca677dc
hex23005dc688

150330001032 has 128 divisors (see below), whose sum is σ = 433465344000. Its totient is φ = 48222250560.

The previous prime is 150330001009. The next prime is 150330001033. The reversal of 150330001032 is 230100033051.

It is a super-2 number, since 2×1503300010322 (a number of 23 digits) contains 22 as substring.

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 = 150330000996 and 150330001014.

It is not an unprimeable number, because it can be changed into a prime (150330001033) 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, 1135873 + ... + 1261295.

It is an arithmetic number, because the mean of its divisors is an integer number (3386448000).

Almost surely, 2150330001032 is an apocalyptic number.

150330001032 is a gapful number since it is divisible by the number (12) 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 150330001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216732672000).

150330001032 is an abundant number, since it is smaller than the sum of its proper divisors (283135342968).

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

150330001032 is a wasteful number, since it uses less digits than its factorization.

150330001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125648 (or 125638 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 150330001032 its reverse (230100033051), we get a palindrome (380430034083).

The spelling of 150330001032 in words is "one hundred fifty billion, three hundred thirty million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 179 186 216 248 279 358 372 537 558 716 744 837 1074 1116 1432 1611 1674 2148 2232 3222 3348 4296 4833 5549 6444 6696 9666 11098 12888 16647 19332 22196 33294 38664 44392 49941 66588 99882 125423 133176 149823 199764 250846 299646 376269 399528 501692 599292 752538 1003384 1128807 1198584 1505076 2257614 3010152 3386421 3888113 4515228 6772842 7776226 9030456 11664339 13545684 15552452 22450717 23328678 27091368 31104904 34993017 44901434 46657356 67352151 69986034 89802868 93314712 104979051 134704302 139972068 179605736 202056453 209958102 269408604 279944136 404112906 419916204 538817208 606169359 695972227 808225812 839832408 1212338718 1391944454 1616451624 2087916681 2424677436 2783888908 4175833362 4849354872 5567777816 6263750043 8351666724 12527500086 16703333448 18791250129 25055000172 37582500258 50110000344 75165000516 150330001032