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220111112122112 = 2819313413427711
BaseRepresentation
bin110010000011000010011100…
…101001100010111100000000
31001212100102020212011012100002
4302003002130221202330000
5212322300024200401422
62100045352102015132
764235334356651411
oct6203023451427400
91055312225135302
10220111112122112
1164152664565282
122082b0121174a8
1395a85092a5c23
143c4d612a3b808
151a6a8dd99a692
hexc8309ca62f00

220111112122112 has 144 divisors (see below), whose sum is σ = 477546675486720. Its totient is φ = 100870031462400.

The previous prime is 220111112122091. The next prime is 220111112122123. The reversal of 220111112122112 is 211221211111022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514411937 + ... + 514839647.

Almost surely, 2220111112122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220111112122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238773337743360).

220111112122112 is an abundant number, since it is smaller than the sum of its proper divisors (257435563364608).

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

220111112122112 is a wasteful number, since it uses less digits than its factorization.

220111112122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431190 (or 431176 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 220111112122112 its reverse (211221211111022), we get a palindrome (431332323233134).

The spelling of 220111112122112 in words is "two hundred twenty trillion, one hundred eleven billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 589 608 992 1178 1216 1984 2356 2432 3413 3968 4712 4864 6826 7936 9424 13652 18848 27304 37696 54608 64847 75392 105803 109216 129694 150784 211606 218432 259388 423212 427711 436864 518776 846424 855422 873728 1037552 1692848 1710844 2010257 2075104 3385696 3421688 4020514 4150208 6771392 6843376 8041028 8126509 8300416 13259041 13542784 13686752 16082056 16253018 16600832 26518082 27085568 27373504 32164112 32506036 53036164 54747008 64328224 65012072 106072328 109494016 128656448 130024144 212144656 251921779 257312896 260048288 424289312 503843558 514625792 520096576 848578624 1007687116 1040193152 1459777643 1697157248 2015374232 2080386304 2919555286 3394314496 4030748464 5839110572 8061496928 11678221144 16122993856 23356442288 27735775217 32245987712 45253106933 46712884576 55471550434 64491975424 90506213866 93425769152 110943100868 181012427732 186851538304 221886201736 362024855464 373703076608 443772403472 724049710928 859809031727 887544806944 1448099421856 1719618063454 1775089613888 2896198843712 3439236126908 3550179227776 5792397687424 6878472253816 7100358455552 11584795374848 13756944507632 27513889015264 55027778030528 110055556061056 220111112122112