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20020011210120 = 23351291358336067
BaseRepresentation
bin1001000110101010001011…
…01010000001010110001000
32121212220011000002022022010
410203111011222001112020
510111001440332210440
6110325022143455520
74134253353345225
oct443250552012610
977786130068263
1020020011210120
116419491453419
1222b40192b75a0
13b22b570b4c7c
144d2d8bc2094c
1524ab76ab8580
hex123545a81588

20020011210120 has 128 divisors (see below), whose sum is σ = 60124998205440. Its totient is φ = 5332897647360.

The previous prime is 20020011210103. The next prime is 20020011210151. The reversal of 20020011210120 is 2101211002002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20020011210096 and 20020011210105.

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, 555060327 + ... + 555096393.

It is an arithmetic number, because the mean of its divisors is an integer number (469726548480).

Almost surely, 220020011210120 is an apocalyptic number.

20020011210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020011210120 is an abundant number, since it is smaller than the sum of its proper divisors (40104986995320).

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

20020011210120 is a wasteful number, since it uses less digits than its factorization.

20020011210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40955 (or 40951 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20020011210120 its reverse (2101211002002), we get a palindrome (22121222212122).

The spelling of 20020011210120 in words is "twenty trillion, twenty billion, eleven million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1291 2582 3583 3873 5164 6455 7166 7746 10328 10749 12910 14332 15492 17915 19365 21498 25820 28664 30984 35830 36067 38730 42996 51640 53745 71660 72134 77460 85992 107490 108201 143320 144268 154920 180335 214980 216402 288536 360670 429960 432804 541005 721340 865608 1082010 1442680 2164020 4328040 4625653 9251306 13876959 18502612 23128265 27753918 37005224 46256530 46562497 55507836 69384795 92513060 93124994 111015672 129228061 138769590 139687491 185026120 186249988 232812485 258456122 277539180 279374982 372499976 387684183 465624970 516912244 555078360 558749964 646140305 698437455 775368366 931249940 1033824488 1117499928 1292280610 1396874910 1550736732 1862499880 1938420915 2584561220 2793749820 3101473464 3876841830 5169122440 5587499640 7753683660 15507367320 166833426751 333666853502 500500280253 667333707004 834167133755 1001000560506 1334667414008 1668334267510 2002001121012 2502501401265 3336668535020 4004002242024 5005002802530 6673337070040 10010005605060 20020011210120