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152431203320 = 235115335318517
BaseRepresentation
bin1000110111110110011…
…0111001001111111000
3112120110012012102211222
42031331212321033320
54444134342001240
6154005333411212
714004246564404
oct2157546711770
9476405172758
10152431203320
11597114931a0
1225660a99b08
13114b31719c6
147540614104
153e7226aeb5
hex237d9b93f8

152431203320 has 128 divisors (see below), whose sum is σ = 382309295040. Its totient is φ = 54226698240.

The previous prime is 152431203319. The next prime is 152431203359. The reversal of 152431203320 is 23302134251.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 152431203320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8222702 + ... + 8241218.

Almost surely, 2152431203320 is an apocalyptic number.

152431203320 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 152431203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191154647520).

152431203320 is an abundant number, since it is smaller than the sum of its proper divisors (229878091720).

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

152431203320 is a wasteful number, since it uses less digits than its factorization.

152431203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18945 (or 18941 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 152431203320 its reverse (23302134251), we get a palindrome (175733337571).

The spelling of 152431203320 in words is "one hundred fifty-two billion, four hundred thirty-one million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 353 424 440 530 583 706 1060 1166 1412 1765 2120 2332 2824 2915 3530 3883 4664 5830 7060 7766 11660 14120 15532 18517 18709 19415 23320 31064 37034 37418 38830 74068 74836 77660 92585 93545 148136 149672 155320 185170 187090 203687 205799 370340 374180 407374 411598 740680 748360 814748 823196 981401 1018435 1028995 1629496 1646392 1962802 2036870 2057990 3925604 4073740 4115980 4907005 6536501 7851208 8147480 8231960 9814010 10795411 13073002 19628020 21590822 26146004 32682505 39256040 43181644 52292008 53977055 65365010 71901511 86363288 107954110 130730020 143803022 215908220 261460040 287606044 346434553 359507555 431816440 575212088 692869106 719015110 1385738212 1438030220 1732172765 2771476424 2876060440 3464345530 3810780083 6928691060 7621560166 13857382120 15243120332 19053900415 30486240664 38107800830 76215601660 152431203320