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1002021110020 = 225737363191561
BaseRepresentation
bin11101001010011010001…
…11001100000100000100
310112210101120111110012201
432211031013030010010
5112404114401010040
62044153325524244
7132252005622040
oct16451507140404
93483346443181
101002021110020
11356a55880857
12142246a13684
137364ac24628
14366d8a39020
151b0e8de8a9a
hexe94d1cc104

1002021110020 has 48 divisors (see below), whose sum is σ = 2404927582848. Its totient is φ = 343539106560.

The previous prime is 1002021109993. The next prime is 1002021110047. The reversal of 1002021110020 is 200111202001.

It is an interprime number because it is at equal distance from previous prime (1002021109993) and next prime (1002021110047).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1002021109979 and 1002021110006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5135040 + ... + 5326600.

It is an arithmetic number, because the mean of its divisors is an integer number (50102657976).

Almost surely, 21002021110020 is an apocalyptic number.

1002021110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002021110020 is an abundant number, since it is smaller than the sum of its proper divisors (1402906472828).

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

1002021110020 is a wasteful number, since it uses less digits than its factorization.

1002021110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228940 (or 228938 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002021110020 its reverse (200111202001), we get a palindrome (1202132312021).

The spelling of 1002021110020 in words is "one trillion, two billion, twenty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 37363 74726 149452 186815 191561 261541 373630 383122 523082 747260 766244 957805 1046164 1307705 1340927 1915610 2615410 2681854 3831220 5230820 5363708 6704635 13409270 26818540 7157293643 14314587286 28629174572 35786468215 50101055501 71572936430 100202111002 143145872860 200404222004 250505277505 501010555010 1002021110020