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220210120020 = 2235111931172787
BaseRepresentation
bin1100110100010110001…
…0111100010101010100
3210001101211012011020010
43031011202330111110
512101442242320040
6245055123040220
721624004064502
oct3150542742524
9701354164203
10220210120020
1185432965530
1236817b10070
13179c53b5487
14a930261672
155adc897e80
hex33458bc554

220210120020 has 96 divisors (see below), whose sum is σ = 672994054656. Its totient is φ = 53356316800.

The previous prime is 220210119971. The next prime is 220210120063. The reversal of 220210120020 is 20021012022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220210119978 and 220210120005.

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, 1188067 + ... + 1360853.

It is an arithmetic number, because the mean of its divisors is an integer number (7010354736).

Almost surely, 2220210120020 is an apocalyptic number.

220210120020 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 220210120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336497027328).

220210120020 is an abundant number, since it is smaller than the sum of its proper divisors (452783934636).

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

220210120020 is a wasteful number, since it uses less digits than its factorization.

220210120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174741 (or 174739 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220210120020 its reverse (20021012022), we get a palindrome (240231132042).

The spelling of 220210120020 in words is "two hundred twenty billion, two hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1931 3862 5793 7724 9655 11586 19310 21241 23172 28965 38620 42482 57930 63723 84964 106205 115860 127446 172787 212410 254892 318615 345574 424820 518361 637230 691148 863935 1036722 1274460 1727870 1900657 2073444 2591805 3455740 3801314 5183610 5701971 7602628 9503285 10367220 11403942 19006570 22807884 28509855 38013140 57019710 114039420 333651697 667303394 1000955091 1334606788 1668258485 2001910182 3336516970 3670168667 4003820364 5004775455 6673033940 7340337334 10009550910 11010506001 14680674668 18350843335 20019101820 22021012002 36701686670 44042024004 55052530005 73403373340 110105060010 220210120020