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1002101122020 = 223553595341121
BaseRepresentation
bin11101001010100011110…
…00011010001111100100
310112210121011001111001010
432211101320122033210
5112404300341401040
62044205304502220
7132253666665135
oct16452170321744
93483534044033
101002101122020
11356a96a5aa79
1214226977a970
137366168a2cb
1436705505c8c
151b100e50e80
hexe951e1a3e4

1002101122020 has 96 divisors (see below), whose sum is σ = 2907279527040. Its totient is φ = 257741086720.

The previous prime is 1002101122013. The next prime is 1002101122027. The reversal of 1002101122020 is 202211012001.

1002101122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1002101122013) and next prime (1002101122027).

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 = 1002101121987 and 1002101122005.

It is not an unprimeable number, because it can be changed into a prime (1002101122027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2482941 + ... + 2858180.

It is an arithmetic number, because the mean of its divisors is an integer number (30284161740).

Almost surely, 21002101122020 is an apocalyptic number.

1002101122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002101122020 is an abundant number, since it is smaller than the sum of its proper divisors (1905178405020).

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

1002101122020 is a wasteful number, since it uses less digits than its factorization.

1002101122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5341245 (or 5341243 counting only the distinct ones).

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

Adding to 1002101122020 its reverse (202211012001), we get a palindrome (1204312134021).

The spelling of 1002101122020 in words is "one trillion, two billion, one hundred one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 59 60 106 118 159 177 212 236 265 295 318 354 530 590 636 708 795 885 1060 1180 1590 1770 3127 3180 3540 6254 9381 12508 15635 18762 31270 37524 46905 62540 93810 187620 5341121 10682242 16023363 21364484 26705605 32046726 53411210 64093452 80116815 106822420 160233630 283079413 315126139 320467260 566158826 630252278 849238239 945378417 1132317652 1260504556 1415397065 1575630695 1698476478 1890756834 2830794130 3151261390 3396952956 3781513668 4246191195 4726892085 5661588260 6302522780 8492382390 9453784170 16701685367 16984764780 18907568340 33403370734 50105056101 66806741468 83508426835 100210112202 167016853670 200420224404 250525280505 334033707340 501050561010 1002101122020