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100020001020 = 223519412139923
BaseRepresentation
bin101110100100110101…
…0000001100011111100
3100120011120021111111020
41131021222001203330
53114320110013040
6113540515424140
710140405660342
oct1351152014374
9316146244436
10100020001020
1139466757175
12174745b5050
13957c9c3474
144bab989992
152905d8acd0
hex1749a818fc

100020001020 has 96 divisors (see below), whose sum is σ = 301986074880. Its totient is φ = 24651901440.

The previous prime is 100020001019. The next prime is 100020001021. The reversal of 100020001020 is 20100020001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100020001019) and next prime (100020001021).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020001021) 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, 1023222 + ... + 1116701.

It is an arithmetic number, because the mean of its divisors is an integer number (3145688280).

Almost surely, 2100020001020 is an apocalyptic number.

100020001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020001020 is an abundant number, since it is smaller than the sum of its proper divisors (201966073860).

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

100020001020 is a wasteful number, since it uses less digits than its factorization.

100020001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139995 (or 2139993 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 100020001020 its reverse (20100020001), we get a palindrome (120120021021).

The spelling of 100020001020 in words is "one hundred billion, twenty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 41 57 60 76 82 95 114 123 164 190 205 228 246 285 380 410 492 570 615 779 820 1140 1230 1558 2337 2460 3116 3895 4674 7790 9348 11685 15580 23370 46740 2139923 4279846 6419769 8559692 10699615 12839538 21399230 25679076 32098845 40658537 42798460 64197690 81317074 87736843 121975611 128395380 162634148 175473686 203292685 243951222 263210529 350947372 406585370 438684215 487902444 526421058 609878055 813170740 877368430 1052842116 1219756110 1316052645 1667000017 1754736860 2439512220 2632105290 3334000034 5001000051 5264210580 6668000068 8335000085 10002000102 16670000170 20004000204 25005000255 33340000340 50010000510 100020001020