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20212100020 = 2257179199241
BaseRepresentation
bin10010110100101111…
…000010101110110100
31221011121122001210001
4102310233002232310
5312343244200040
613141343241044
71313606005210
oct226457025664
957147561701
1020212100020
1186322269a2
123b00ba9184
131ba160a5c8
14d9a537940
157d46b559a
hex4b4bc2bb4

20212100020 has 96 divisors (see below), whose sum is σ = 51423966720. Its totient is φ = 6514421760.

The previous prime is 20212099979. The next prime is 20212100039. The reversal of 20212100020 is 2000121202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2182600 + ... + 2191840.

It is an arithmetic number, because the mean of its divisors is an integer number (535666320).

Almost surely, 220212100020 is an apocalyptic number.

20212100020 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 20212100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25711983360).

20212100020 is an abundant number, since it is smaller than the sum of its proper divisors (31211866700).

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

20212100020 is a wasteful number, since it uses less digits than its factorization.

20212100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10193 (or 10191 counting only the distinct ones).

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

Adding to 20212100020 its reverse (2000121202), we get a palindrome (22212221222).

The spelling of 20212100020 in words is "twenty billion, two hundred twelve million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 919 1190 1838 2380 3676 4595 6433 9190 9241 12866 15623 18380 18482 25732 31246 32165 36964 46205 62492 64330 64687 78115 92410 109361 128660 129374 156230 157097 184820 218722 258748 312460 314194 323435 437444 546805 628388 646870 785485 1093610 1099679 1293740 1570970 2187220 2199358 3141940 4398716 5498395 8492479 10996790 16984958 21993580 33969916 42462395 59447353 84924790 118894706 144372143 169849580 237789412 288744286 297236765 577488572 594473530 721860715 1010605001 1188947060 1443721430 2021210002 2887442860 4042420004 5053025005 10106050010 20212100020