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20212020100 = 22524127118191
BaseRepresentation
bin10010110100101110…
…101111001110000100
31221011121111000011001
4102310232233032010
5312343234120400
613141341423044
71313605223206
oct226456571604
957147430131
1020212020100
118632181948
123b00b6aa84
131ba15b010c
14d9a516776
157d469ba6a
hex4b4baf384

20212020100 has 72 divisors (see below), whose sum is σ = 45098113536. Its totient is φ = 7858080000.

The previous prime is 20212020091. The next prime is 20212020113. The reversal of 20212020100 is 102021202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1102005 + ... + 1120195.

It is an arithmetic number, because the mean of its divisors is an integer number (626362688).

Almost surely, 220212020100 is an apocalyptic number.

20212020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22549056768).

20212020100 is an abundant number, since it is smaller than the sum of its proper divisors (24886093436).

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

20212020100 is a wasteful number, since it uses less digits than its factorization.

20212020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18517 (or 18510 counting only the distinct ones).

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

Adding to 20212020100 its reverse (102021202), we get a palindrome (20314041302).

The spelling of 20212020100 in words is "twenty billion, two hundred twelve million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 271 410 542 820 1025 1084 1355 2050 2710 4100 5420 6775 11111 13550 18191 22222 27100 36382 44444 55555 72764 90955 111110 181910 222220 277775 363820 454775 555550 745831 909550 1111100 1491662 1819100 2983324 3729155 4929761 7458310 9859522 14916620 18645775 19719044 24648805 37291550 49297610 74583100 98595220 123244025 202120201 246488050 404240402 492976100 808480804 1010601005 2021202010 4042404020 5053005025 10106010050 20212020100