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1110100001020 = 2251729210973539
BaseRepresentation
bin10000001001110111000…
…111011100000011111100
310221010100202222222110121
4100021313013130003330
5121141441100013040
62205550051344324
7143126212214443
oct20116707340374
93833322888417
101110100001020
1139887756827a
1215b18a2b20a4
13808b340983a
143ba2ca1bd5a
151dd22513c4a
hex102771dc0fc

1110100001020 has 144 divisors (see below), whose sum is σ = 2559443533920. Its totient is φ = 403027222528.

The previous prime is 1110100000949. The next prime is 1110100001041. The reversal of 1110100001020 is 201000010111.

It is a junction number, because it is equal to n+sod(n) for n = 1110100000994 and 1110100001012.

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, 313674411 + ... + 313677949.

It is an arithmetic number, because the mean of its divisors is an integer number (17773913430).

Almost surely, 21110100001020 is an apocalyptic number.

1110100001020 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 1110100001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279721766960).

1110100001020 is an abundant number, since it is smaller than the sum of its proper divisors (1449343532900).

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

1110100001020 is a wasteful number, since it uses less digits than its factorization.

1110100001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4720 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1110100001020 its reverse (201000010111), we get a palindrome (1311100011131).

Subtracting from 1110100001020 its reverse (201000010111), we obtain a palindrome (909099990909).

The spelling of 1110100001020 in words is "one trillion, one hundred ten billion, one hundred million, one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 841 986 1097 1682 1972 2194 2465 3364 3539 4205 4388 4930 5485 7078 8410 9860 10970 14156 14297 16820 17695 18649 21940 28594 31813 35390 37298 57188 60163 63626 70780 71485 74596 93245 102631 120326 127252 142970 159065 186490 205262 240652 285940 300815 318130 372980 410524 513155 540821 601630 636260 922577 1026310 1081642 1203260 1744727 1845154 2052620 2163284 2704105 2976299 3489454 3690308 3882283 4612885 5408210 5952598 6978908 7764566 8723635 9225770 10816420 11905196 14881495 15529132 15683809 17447270 18451540 19411415 29762990 31367618 34894540 38822830 50597083 59525980 62735236 65998811 77645660 78419045 101194166 112586207 131997622 156838090 202388332 225172414 252985415 263995244 313676180 329994055 450344828 505970830 562931035 659988110 1011941660 1125862070 1319976220 1913965519 2251724140 3265000003 3827931038 6530000006 7655862076 9569827595 13060000012 16325000015 19139655190 32650000030 38279310380 55505000051 65300000060 111010000102 222020000204 277525000255 555050000510 1110100001020