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1102222013100 = 22352131914874791
BaseRepresentation
bin10000000010100001100…
…011010011001010101100
310220101000202011201200020
4100002201203103022230
5121024322313404400
62202204231002140
7142430042345565
oct20024143231254
93811022151606
101102222013100
113954a465635a
1215974bb09350
137cc29246420
143b4c263516c
151da10aba2a0
hex100a18d32ac

1102222013100 has 144 divisors (see below), whose sum is σ = 3615169447680. Its totient is φ = 257036371200.

The previous prime is 1102222013041. The next prime is 1102222013117. The reversal of 1102222013100 is 13102222011.

It is a super-2 number, since 2×11022220131002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1102222013100.

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, 7363296 + ... + 7511495.

Almost surely, 21102222013100 is an apocalyptic number.

1102222013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102222013100 is an abundant number, since it is smaller than the sum of its proper divisors (2512947434580).

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

1102222013100 is a wasteful number, since it uses less digits than its factorization.

1102222013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14874840 (or 14874833 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1102222013100 its reverse (13102222011), we get a palindrome (1115324235111).

The spelling of 1102222013100 in words is "one trillion, one hundred two billion, two hundred twenty-two million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 75 76 78 95 100 114 130 150 156 190 195 228 247 260 285 300 325 380 390 475 494 570 650 741 780 950 975 988 1140 1235 1300 1425 1482 1900 1950 2470 2850 2964 3705 3900 4940 5700 6175 7410 12350 14820 18525 24700 37050 74100 14874791 29749582 44624373 59499164 74373955 89248746 148747910 178497492 193372283 223121865 282621029 297495820 371869775 386744566 446243730 565242058 580116849 743739550 773489132 847863087 892487460 966861415 1115609325 1130484116 1160233698 1413105145 1487479100 1695726174 1933722830 2231218650 2320467396 2826210290 2900584245 3391452348 3674073377 3867445660 4239315435 4462437300 4834307075 5652420580 5801168490 7065525725 7348146754 8478630870 9668614150 11022220131 11602336980 14131051450 14502921225 14696293508 16957261740 18370366885 19337228300 21196577175 22044440262 28262102900 29005842450 36740733770 42393154350 44088880524 55111100655 58011684900 73481467540 84786308700 91851834425 110222201310 183703668850 220444402620 275555503275 367407337700 551111006550 1102222013100