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315033020120 = 235713439197147
BaseRepresentation
bin1001001010110010110…
…11100110011011011000
31010010011012012120112002
410211121123212123120
520130141423120440
6400420230540132
731521545326340
oct4453133463330
91103135176462
10315033020120
11111671a21875
125107bb07648
13239274694a0
14113678bdd20
1582dc347115
hex49596e66d8

315033020120 has 128 divisors (see below), whose sum is σ = 874390809600. Its totient is φ = 99475140096.

The previous prime is 315033020119. The next prime is 315033020143. The reversal of 315033020120 is 21020330513.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 315033020092 and 315033020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499387 + ... + 1696533.

It is an arithmetic number, because the mean of its divisors is an integer number (6831178200).

Almost surely, 2315033020120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315033020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437195404800).

315033020120 is an abundant number, since it is smaller than the sum of its proper divisors (559357789480).

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

315033020120 is a wasteful number, since it uses less digits than its factorization.

315033020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197617 (or 197613 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 315033020120 its reverse (21020330513), we get a palindrome (336053350633).

The spelling of 315033020120 in words is "three hundred fifteen billion, thirty-three million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 439 455 520 728 878 910 1756 1820 2195 3073 3512 3640 4390 5707 6146 8780 11414 12292 15365 17560 22828 24584 28535 30730 39949 45656 57070 61460 79898 114140 122920 159796 197147 199745 228280 319592 394294 399490 788588 798980 985735 1380029 1577176 1597960 1971470 2562911 2760058 3942940 5125822 5520116 6900145 7885880 10251644 11040232 12814555 13800290 17940377 20503288 25629110 27600580 35880754 51258220 55201160 71761508 86547533 89701885 102516440 143523016 173095066 179403770 346190132 358807540 432737665 605832731 692380264 717615080 865475330 1125117929 1211665462 1730950660 2250235858 2423330924 3029163655 3461901320 4500471716 4846661848 5625589645 6058327310 7875825503 9000943432 11251179290 12116654620 15751651006 22502358580 24233309240 31503302012 39379127515 45004717160 63006604024 78758255030 157516510060 315033020120