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1010002013220 = 223518193002027
BaseRepresentation
bin11101011001010001100…
…11111010110000100100
310120112222202222100020010
432230220303322300210
5113021441003410340
62051553304210220
7132653535314304
oct16545063726044
93515882870203
101010002013220
1135a380895522
121438b3769970
137432050c465
1436c54971604
151b4148c0b80
hexeb28cfac24

1010002013220 has 48 divisors (see below), whose sum is σ = 2843630008128. Its totient is φ = 267845834880.

The previous prime is 1010002013219. The next prime is 1010002013221. The reversal of 1010002013220 is 223102000101.

1010002013220 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 (1010002013219) and next prime (1010002013221).

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 = 1010002013196 and 1010002013205.

It is not an unprimeable number, because it can be changed into a prime (1010002013221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46490154 + ... + 46511873.

It is an arithmetic number, because the mean of its divisors is an integer number (59242291836).

Almost surely, 21010002013220 is an apocalyptic number.

1010002013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010002013220 is an abundant number, since it is smaller than the sum of its proper divisors (1833627994908).

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

1010002013220 is a wasteful number, since it uses less digits than its factorization.

1010002013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93002220 (or 93002218 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1010002013220 its reverse (223102000101), we get a palindrome (1233104013321).

The spelling of 1010002013220 in words is "one trillion, ten billion, two million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 93002027 186004054 279006081 372008108 465010135 558012162 930020270 1116024324 1395030405 1860040540 2790060810 5580121620 16833366887 33666733774 50500100661 67333467548 84166834435 101000201322 168333668870 202000402644 252500503305 336667337740 505001006610 1010002013220