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100401002020 = 22511716427721
BaseRepresentation
bin101110110000001011…
…1011011011000100100
3100121011010012100121101
41131200113123120210
53121110124031040
6114042405525444
710153013302414
oct1354027333044
9317133170541
10100401002020
1139641825930
1217560113884
139610912147
144c06406644
15292954a09a
hex17605db624

100401002020 has 48 divisors (see below), whose sum is σ = 233249175936. Its totient is φ = 35995232000.

The previous prime is 100401001991. The next prime is 100401002021. The reversal of 100401002020 is 20200104001.

It is a super-2 number, since 2×1004010020202 (a number of 23 digits) contains 22 as substring.

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 = 100401001988 and 100401002006.

It is not an unprimeable number, because it can be changed into a prime (100401002021) 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, 3198241 + ... + 3229480.

It is an arithmetic number, because the mean of its divisors is an integer number (4859357832).

Almost surely, 2100401002020 is an apocalyptic number.

100401002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100401002020 is an abundant number, since it is smaller than the sum of its proper divisors (132848173916).

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

100401002020 is a wasteful number, since it uses less digits than its factorization.

100401002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427812 (or 6427810 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100401002020 its reverse (20200104001), we get a palindrome (120601106021).

The spelling of 100401002020 in words is "one hundred billion, four hundred one million, two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 15620 6427721 12855442 25710884 32138605 64277210 70704931 128554420 141409862 282819724 353524655 456368191 707049310 912736382 1414098620 1825472764 2281840955 4563681910 5020050101 9127363820 10040100202 20080200404 25100250505 50200501010 100401002020