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1111010211220 = 2257213382322811
BaseRepresentation
bin10000001010101101010…
…111100111010110010100
310221012201012201110010111
4100022231113213112110
5121200322103224340
62210220244332404
7143160603656500
oct20125527472624
93835635643114
101111010211220
113991a4333708
1215b3a30a4104
13809c9b69660
143bab7875300
151dd773aaaea
hex102ad5e7594

1111010211220 has 144 divisors (see below), whose sum is σ = 2923704177408. Its totient is φ = 351509034240.

The previous prime is 1111010211203. The next prime is 1111010211287. The reversal of 1111010211220 is 221120101111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1111010211220.

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, 48693615 + ... + 48716425.

It is an arithmetic number, because the mean of its divisors is an integer number (20303501232).

Almost surely, 21111010211220 is an apocalyptic number.

1111010211220 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 1111010211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461852088704).

1111010211220 is an abundant number, since it is smaller than the sum of its proper divisors (1812693966188).

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

1111010211220 is a wasteful number, since it uses less digits than its factorization.

1111010211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26670 (or 26661 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1111010211220 its reverse (221120101111), we get a palindrome (1332130312331).

The spelling of 1111010211220 in words is "one trillion, one hundred eleven billion, ten million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 3823 6370 7646 12740 15292 19115 22811 26761 38230 45622 49699 53522 76460 91244 99398 107044 114055 133805 159677 187327 198796 228110 248495 267610 296543 319354 347893 374654 456220 496990 535220 593086 638708 695786 749308 798385 936635 993980 1117739 1186172 1391572 1482715 1596770 1739465 1873270 2075801 2235478 2435251 2965430 3193540 3478930 3746540 4151602 4470956 4870502 5588695 5930860 6957860 8303204 9741004 10379005 11177390 12176255 14530607 20758010 22354780 24352510 29061214 41516020 48705020 58122428 72653035 87206453 145306070 174412906 290612140 348825812 436032265 610445171 872064530 1133683889 1220890342 1744129060 2267367778 2441780684 3052225855 4273116197 4534735556 5668419445 6104451710 7935787223 8546232394 11336838890 12208903420 15871574446 17092464788 21365580985 22673677780 31743148892 39678936115 42731161970 55550510561 79357872230 85462323940 111101021122 158715744460 222202042244 277752552805 555505105610 1111010211220