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1102112121020 = 2256113923327893
BaseRepresentation
bin10000000010011011000…
…000000110000010111100
310220100202002101122002012
4100002123000012002330
5121024111200333040
62202145303350352
7142424236313531
oct20023300060274
93810662348065
101102112121020
11395448618859
1215971b1523b8
137cc0c54b221
143b4b1bcad88
151da0610e865
hex1009b0060bc

1102112121020 has 96 divisors (see below), whose sum is σ = 2379554573760. Its totient is φ = 428635330560.

The previous prime is 1102112121017. The next prime is 1102112121023. The reversal of 1102112121020 is 201212112011.

It is an interprime number because it is at equal distance from previous prime (1102112121017) and next prime (1102112121023).

It is a super-2 number, since 2×11021121210202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1102112120986 and 1102112121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102112121023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39498194 + ... + 39526086.

It is an arithmetic number, because the mean of its divisors is an integer number (24787026810).

Almost surely, 21102112121020 is an apocalyptic number.

1102112121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102112121020 is an abundant number, since it is smaller than the sum of its proper divisors (1277442452740).

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

1102112121020 is a wasteful number, since it uses less digits than its factorization.

1102112121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28335 (or 28333 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1102112121020 its reverse (201212112011), we get a palindrome (1303324233031).

Subtracting from 1102112121020 its reverse (201212112011), we obtain a palindrome (900900009009).

The spelling of 1102112121020 in words is "one trillion, one hundred two billion, one hundred twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 139 233 244 278 305 466 556 610 695 932 1165 1220 1390 2330 2780 4660 8479 14213 16958 27893 28426 32387 33916 42395 55786 56852 64774 71065 84790 111572 129548 139465 142130 161935 169580 278930 284260 323870 557860 647740 1701473 1975607 3402946 3877127 3951214 6499069 6805892 7754254 7902428 8507365 9878035 12998138 15508508 17014730 19385635 19756070 25996276 32495345 34029460 38771270 39512140 64990690 77542540 129981380 236504747 396443209 473009494 792886418 903370591 946018988 1182523735 1585772836 1806741182 1982216045 2365047470 3613482364 3964432090 4516852955 4730094940 7928864180 9033705910 18067411820 55105606051 110211212102 220422424204 275528030255 551056060510 1102112121020