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152043150120 = 23354196134933
BaseRepresentation
bin1000110110011001111…
…0100101101100101000
3112112110011000021221020
42031212132211230220
54442341021300440
6153503032212440
713661525311101
oct2154636455450
9475404007836
10152043150120
1159532438074
1225572b3a120
1311450954124
147504c7d3a8
153e4d1673d0
hex23667a5b28

152043150120 has 128 divisors (see below), whose sum is σ = 458056771200. Its totient is φ = 40373904384.

The previous prime is 152043150107. The next prime is 152043150179. The reversal of 152043150120 is 21051340251.

It is a happy number.

152043150120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30819174 + ... + 30824106.

It is an arithmetic number, because the mean of its divisors is an integer number (3578568525).

Almost surely, 2152043150120 is an apocalyptic number.

152043150120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152043150120 is an abundant number, since it is smaller than the sum of its proper divisors (306013621080).

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

152043150120 is a wasteful number, since it uses less digits than its factorization.

152043150120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5975 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 152043150120 its reverse (21051340251), we get a palindrome (173094490371).

The spelling of 152043150120 in words is "one hundred fifty-two billion, forty-three million, one hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 419 613 838 1226 1257 1676 1839 2095 2452 2514 3065 3352 3678 4190 4904 4933 5028 6130 6285 7356 8380 9195 9866 10056 12260 12570 14712 14799 16760 18390 19732 24520 24665 25140 29598 36780 39464 49330 50280 59196 73560 73995 98660 118392 147990 197320 256847 295980 513694 591960 770541 1027388 1284235 1541082 2054776 2066927 2568470 3023929 3082164 3852705 4133854 5136940 6047858 6164328 6200781 7705410 8267708 9071787 10273880 10334635 12095716 12401562 15119645 15410820 16535416 18143574 20669270 24191432 24803124 30239290 30821640 31003905 36287148 41338540 45358935 49606248 60478580 62007810 72574296 82677080 90717870 120957160 124015620 181435740 248031240 362871480 1267026251 2534052502 3801078753 5068105004 6335131255 7602157506 10136210008 12670262510 15204315012 19005393765 25340525020 30408630024 38010787530 50681050040 76021575060 152043150120