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20120210020 = 22523378391409
BaseRepresentation
bin10010101111010000…
…100000101001100100
31220221012201120101201
4102233100200221210
5312201233210040
613124301532244
71311411651301
oct225720405144
956835646351
1020120210020
118595374649
123a96274084
131b88576321
14d8c2580a8
157cb5b3a9a
hex4af420a64

20120210020 has 96 divisors (see below), whose sum is σ = 45367257600. Its totient is φ = 7475871744.

The previous prime is 20120210009. The next prime is 20120210029. The reversal of 20120210020 is 2001202102.

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 = 20120209979 and 20120210006.

It is not an unprimeable number, because it can be changed into a prime (20120210029) 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, 14279076 + ... + 14280484.

It is an arithmetic number, because the mean of its divisors is an integer number (472575600).

Almost surely, 220120210020 is an apocalyptic number.

20120210020 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 20120210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22683628800).

20120210020 is an abundant number, since it is smaller than the sum of its proper divisors (25247047580).

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

20120210020 is a wasteful number, since it uses less digits than its factorization.

20120210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2315 counting only the distinct ones).

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

Adding to 20120210020 its reverse (2001202102), we get a palindrome (22121412122).

The spelling of 20120210020 in words is "twenty billion, one hundred twenty million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 839 851 1409 1678 1702 2818 3356 3404 4195 4255 5636 7045 8390 8510 14090 16780 17020 19297 28180 31043 32407 38594 52133 62086 64814 77188 96485 104266 124172 129628 155215 162035 192970 208532 260665 310430 324070 385940 521330 620860 648140 713989 1042660 1182151 1199059 1427978 2364302 2398118 2855956 3569945 4728604 4796236 5910755 5995295 7139890 11821510 11990590 14279780 23643020 23981180 27189473 43739587 54378946 87479174 108757892 135947365 174958348 218697935 271894730 437395870 543789460 874791740 1006010501 2012021002 4024042004 5030052505 10060105010 20120210020