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313002201024 = 2634155938729
BaseRepresentation
bin1001000111000000110…
…00101000111111000000
31002220220122212021110000
410203200120220333000
520112012030413044
6355442523240000
731420325545062
oct4434030507700
91086818767400
10313002201024
1111081a645387
12507b3979000
13236927c1396
1411213cc1732
15821dde7d69
hex48e0628fc0

313002201024 has 140 divisors (see below), whose sum is σ = 928455699600. Its totient is φ = 104264451072.

The previous prime is 313002200999. The next prime is 313002201041. The reversal of 313002201024 is 420102200313.

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 = 313002200988 and 313002201006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8062492 + ... + 8101220.

Almost surely, 2313002201024 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 313002201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464227849800).

313002201024 is an abundant number, since it is smaller than the sum of its proper divisors (615453498576).

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

313002201024 is a wasteful number, since it uses less digits than its factorization.

313002201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40312 (or 40293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 313002201024 its reverse (420102200313), we get a palindrome (733104401337).

The spelling of 313002201024 in words is "three hundred thirteen billion, two million, two hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1559 1728 2592 3118 4677 5184 6236 9354 12472 14031 18708 24944 28062 37416 38729 42093 49888 56124 74832 77458 84186 99776 112248 116187 126279 149664 154916 168372 224496 232374 252558 299328 309832 336744 348561 448992 464748 505116 619664 673488 697122 897984 929496 1010232 1045683 1239328 1346976 1394244 1858992 2020464 2091366 2478656 2693952 2788488 3137049 3717984 4040928 4182732 5576976 6274098 7435968 8081856 8365464 11153952 12548196 16730928 22307904 25096392 33461856 50192784 60378511 66923712 100385568 120757022 181135533 200771136 241514044 362271066 483028088 543406599 724542132 966056176 1086813198 1449084264 1630219797 1932112352 2173626396 2898168528 3260439594 3864224704 4347252792 4890659391 5796337056 6520879188 8694505584 9781318782 11592674112 13041758376 17389011168 19562637564 26083516752 34778022336 39125275128 52167033504 78250550256 104334067008 156501100512 313002201024