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313200220020 = 2235107157310733
BaseRepresentation
bin1001000111011000011…
…00000001011101110100
31002221102110110200102220
410203230030001131310
520112413224020040
6355514315402340
731425251641662
oct4435414013564
91087373420386
10313200220020
111109113a4a46
125084a1533b0
13236c4833a9c
1411232309c32
1582314b02d0
hex48ec301774

313200220020 has 96 divisors (see below), whose sum is σ = 890797315968. Its totient is φ = 82212229632.

The previous prime is 313200219991. The next prime is 313200220061. The reversal of 313200220020 is 20022002313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 852574 + ... + 1163306.

It is an arithmetic number, because the mean of its divisors is an integer number (9279138708).

Almost surely, 2313200220020 is an apocalyptic number.

313200220020 is a gapful number since it is divisible by the number (30) 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 313200220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445398657984).

313200220020 is an abundant number, since it is smaller than the sum of its proper divisors (577597095948).

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

313200220020 is a wasteful number, since it uses less digits than its factorization.

313200220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311009 (or 311007 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 313200220020 its reverse (20022002313), we get a palindrome (333222222333).

The spelling of 313200220020 in words is "three hundred thirteen billion, two hundred million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 157 214 314 321 428 471 535 628 642 785 942 1070 1284 1570 1605 1884 2140 2355 3140 3210 4710 6420 9420 16799 33598 50397 67196 83995 100794 167990 201588 251985 310733 335980 503970 621466 932199 1007940 1242932 1553665 1864398 3107330 3728796 4660995 6214660 9321990 18643980 33248431 48785081 66496862 97570162 99745293 132993724 146355243 166242155 195140324 199490586 243925405 292710486 332484310 398981172 487850810 498726465 585420972 664968620 731776215 975701620 997452930 1463552430 1994905860 2927104860 5220003667 10440007334 15660011001 20880014668 26100018335 31320022002 52200036670 62640044004 78300055005 104400073340 156600110010 313200220020