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10020313213020 = 223251139712747517
BaseRepresentation
bin1001000111010000100100…
…1101011010100001011100
31022110221011212010101120100
42101310021031122201130
52303133100140304040
633151133543421100
72052641462661555
oct221641115324134
938427155111510
1010020313213020
113213655641680
12115a006754790
13578bb06a90b6
14268db2c6732c
151259b842cb30
hex91d0935a85c

10020313213020 has 144 divisors (see below), whose sum is σ = 33241651698528. Its totient is φ = 2423047841280.

The previous prime is 10020313212989. The next prime is 10020313213067. The reversal of 10020313213020 is 2031231302001.

10020313213020 is a `hidden beast` number, since 10 + 0 + 2 + 0 + 31 + 321 + 302 + 0 = 666.

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 = 10020313212984 and 10020313213002.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5587699 + ... + 7159818.

It is an arithmetic number, because the mean of its divisors is an integer number (230844803462).

Almost surely, 210020313213020 is an apocalyptic number.

10020313213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020313213020 is an abundant number, since it is smaller than the sum of its proper divisors (23221338485508).

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

10020313213020 is a wasteful number, since it uses less digits than its factorization.

10020313213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12747940 (or 12747935 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10020313213020 its reverse (2031231302001), we get a palindrome (12051544515021).

The spelling of 10020313213020 in words is "ten trillion, twenty billion, three hundred thirteen million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 397 495 660 794 990 1191 1588 1980 1985 2382 3573 3970 4367 4764 5955 7146 7940 8734 11910 13101 14292 17468 17865 21835 23820 26202 35730 39303 43670 52404 65505 71460 78606 87340 131010 157212 196515 262020 393030 786060 12747517 25495034 38242551 50990068 63737585 76485102 114727653 127475170 140222687 152970204 191212755 229455306 254950340 280445374 382425510 420668061 458910612 560890748 573638265 701113435 764851020 841336122 1147276530 1262004183 1402226870 1682672244 2103340305 2294553060 2524008366 2804453740 4206680610 5048016732 5060764249 6310020915 8413361220 10121528498 12620041830 15182292747 20243056996 25240083660 25303821245 30364585494 45546878241 50607642490 55668406739 60729170988 75911463735 91093756482 101215284980 111336813478 151822927470 167005220217 182187512964 222673626956 227734391205 278342033695 303645854940 334010440434 455468782410 501015660651 556684067390 668020880868 835026101085 910937564820 1002031321302 1113368134780 1670052202170 2004062642604 2505078303255 3340104404340 5010156606510 10020313213020