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112100012111120 = 245114319121154933
BaseRepresentation
bin11001011111010001010001…
…011001101011010100010000
3112200220122201120211021122212
4121133101101121223110100
5104143121311100023440
61034230011251251252
732416646542114535
oct3137212131532420
9480818646737585
10112100012111120
113279a391439370
12106a58972a9b28
134a71ca79c59b7
141d979532c4d8c
15ce5ea2a1d465
hex65f45166b510

112100012111120 has 160 divisors (see below), whose sum is σ = 290955729677184. Its totient is φ = 39813309849600.

The previous prime is 112100012111063. The next prime is 112100012111159. The reversal of 112100012111120 is 21111210001211.

It is a junction number, because it is equal to n+sod(n) for n = 112100012111095 and 112100012111104.

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, 723461174 + ... + 723616106.

Almost surely, 2112100012111120 is an apocalyptic number.

112100012111120 is a gapful number since it is divisible by the number (10) 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 112100012111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145477864838592).

112100012111120 is an abundant number, since it is smaller than the sum of its proper divisors (178855717566064).

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

112100012111120 is a wasteful number, since it uses less digits than its factorization.

112100012111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174121 (or 174115 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112100012111120 its reverse (21111210001211), we get a palindrome (133211222112331).

The spelling of 112100012111120 in words is "one hundred twelve trillion, one hundred billion, twelve million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 946 1720 1892 2365 3440 3784 4730 7568 9460 18920 19121 37840 38242 76484 95605 152968 154933 191210 210331 305936 309866 382420 420662 619732 764840 774665 822203 841324 1051655 1239464 1529680 1549330 1644406 1682648 1704263 2103310 2478928 3098660 3288812 3365296 3408526 4111015 4206620 6197320 6577624 6662119 6817052 8222030 8413240 8521315 9044233 12394640 13155248 13324238 13634104 16444060 16826480 17042630 18088466 26648476 27268208 32888120 33310595 34085260 36176932 45221165 53296952 65776240 66621190 68170520 72353864 73283309 90442330 106593904 133242380 136341040 144707728 146566618 180884660 266484760 293133236 361769320 366416545 532969520 586266472 723538640 732833090 1172532944 1465666180 2931332360 2962473893 5862664720 5924947786 11849895572 14812369465 23699791144 29624738930 32587212823 47399582288 59249477860 65174425646 118498955720 127386377399 130348851292 162936064115 236997911440 254772754798 260697702584 325872128230 509545509596 521395405168 636931886995 651744256460 1019091019192 1273863773990 1303488512920 1401250151389 2038182038384 2547727547980 2606977025840 2802500302778 5095455095960 5605000605556 7006250756945 10190910191920 11210001211112 14012501513890 22420002422224 28025003027780 56050006055560 112100012111120