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220120210112220 = 2232511176539519017
BaseRepresentation
bin110010000011001010111010…
…111011100111111011011100
31001212101021201220121222111200
4302003022322323213323130
5212322422142242042340
62100053454543315500
764236106002414045
oct6203127273477334
91055337656558450
10220120210112220
11641565030a4970
1220830930babb90
1395a9329144c22
143c4dc3707d8cc
151a6ac72581330
hexc832baee7edc

220120210112220 has 144 divisors (see below), whose sum is σ = 771244714906848. Its totient is φ = 50223506042880.

The previous prime is 220120210112207. The next prime is 220120210112279. The reversal of 220120210112220 is 22211012021022.

It is a happy number.

220120210112220 is a `hidden beast` number, since 2 + 2 + 0 + 120 + 210 + 112 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220120210112193 and 220120210112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3269725849 + ... + 3269793168.

It is an arithmetic number, because the mean of its divisors is an integer number (5355866075742).

Almost surely, 2220120210112220 is an apocalyptic number.

220120210112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120210112220 is an abundant number, since it is smaller than the sum of its proper divisors (551124504794628).

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

220120210112220 is a wasteful number, since it uses less digits than its factorization.

220120210112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6539519060 (or 6539519055 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220120210112220 its reverse (22211012021022), we get a palindrome (242331222133242).

The spelling of 220120210112220 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred ten million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 6539519017 13079038034 19618557051 26158076068 32697595085 39237114102 58855671153 65395190170 71934709187 78474228204 98092785255 111171823289 117711342306 130790380340 143869418374 196185570510 215804127561 222343646578 235422684612 287738836748 294278355765 333515469867 359673545935 392371141020 431608255122 444687293156 555859116445 588556711530 647412382683 667030939734 719347091870 863216510244 1000546409601 1079020637805 1111718232890 1177113423060 1222890056179 1294824765366 1334061879468 1438694183740 1667577349335 2001092819202 2158041275610 2223436465780 2445780112358 2589649530732 3237061913415 3335154698670 3668670168537 4002185638404 4316082551220 4891560224716 5002732048005 6114450280895 6474123826830 6670309397340 7337340337074 10005464096010 11006010505611 12228900561790 12948247653660 14674680674148 18343350842685 20010928192020 22012021011222 24457801123580 36686701685370 44024042022444 55030052528055 73373403370740 110060105056110 220120210112220