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20020102200120 = 23351119798249689
BaseRepresentation
bin1001000110101010010110…
…00101000111101100111000
32121212220101100022002010010
410203111023011013230320
510111002132130400440
6110325035154021520
74134255536633211
oct443251305075470
977786340262103
1020020102200120
116419528850570
1222b40438778a0
13b22b6cbc26c9
144d2d99d48408
1524ab7ea8d580
hex12354b147b38

20020102200120 has 128 divisors (see below), whose sum is σ = 68968773216000. Its totient is φ = 4597918202880.

The previous prime is 20020102200107. The next prime is 20020102200169. The reversal of 20020102200120 is 2100220102002.

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 = 20020102200096 and 20020102200105.

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, 399099765 + ... + 399149924.

It is an arithmetic number, because the mean of its divisors is an integer number (538818540750).

Almost surely, 220020102200120 is an apocalyptic number.

20020102200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020102200120 is an abundant number, since it is smaller than the sum of its proper divisors (48948671015880).

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

20020102200120 is a wasteful number, since it uses less digits than its factorization.

20020102200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798249733 (or 798249729 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20020102200120 its reverse (2100220102002), we get a palindrome (22120322302122).

The spelling of 20020102200120 in words is "twenty trillion, twenty billion, one hundred two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 5016 6270 8360 12540 25080 798249689 1596499378 2394749067 3192998756 3991248445 4789498134 6385997512 7982496890 8780746579 9578996268 11973745335 15166744091 15964993780 17561493158 19157992536 23947490670 26342239737 30333488182 31929987560 35122986316 43903732895 45500232273 47894981340 52684479474 60666976364 70245972632 75833720455 87807465790 91000464546 95789962680 105368958948 121333952728 131711198685 151667440910 166834185001 175614931580 182000929092 210737917896 227501161365 263422397370 303334881820 333668370002 351229863160 364001858184 455002322730 500502555003 526844794740 606669763640 667336740004 834170925005 910004645460 1001005110006 1053689589480 1334673480008 1668341850010 1820009290920 2002010220012 2502512775015 3336683700020 4004020440024 5005025550030 6673367400040 10010051100060 20020102200120