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1111000312120 = 235537114595059
BaseRepresentation
bin10000001010101100110…
…001110110100100111000
310221012200112002112010011
4100022230301312210320
5121200312034441440
62210215252231304
7143160423560236
oct20125461664470
93835615075104
101111000312120
11399199792336
1215b39b90b534
13809c7ab19ba
143bab6419956
151dd765a29ea
hex102acc76938

1111000312120 has 128 divisors (see below), whose sum is σ = 2585068992000. Its totient is φ = 429494607360.

The previous prime is 1111000312043. The next prime is 1111000312133. The reversal of 1111000312120 is 212130001111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1111000312120.

It is a congruent number.

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, 219606151 + ... + 219611209.

It is an arithmetic number, because the mean of its divisors is an integer number (20195851500).

Almost surely, 21111000312120 is an apocalyptic number.

1111000312120 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 1111000312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292534496000).

1111000312120 is an abundant number, since it is smaller than the sum of its proper divisors (1474068679880).

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

1111000312120 is a wasteful number, since it uses less digits than its factorization.

1111000312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6653 (or 6649 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1111000312120 its reverse (212130001111), we get a palindrome (1323130313231).

The spelling of 1111000312120 in words is "one trillion, one hundred eleven billion, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 71 106 142 212 265 284 355 424 530 568 710 1060 1420 1459 2120 2840 2918 3763 5059 5836 7295 7526 10118 11672 14590 15052 18815 20236 25295 29180 30104 37630 40472 50590 58360 75260 77327 101180 103589 150520 154654 202360 207178 268127 309308 359189 386635 414356 517945 536254 618616 718378 773270 828712 1035890 1072508 1340635 1436756 1546540 1795945 2071780 2145016 2681270 2873512 3093080 3591890 4143560 5362540 5490217 7183780 7381081 10725080 10980434 14367560 14762162 19037017 21960868 27451085 29524324 36905405 38074034 43921736 54902170 59048648 73810810 76148068 95185085 109804340 147621620 152296136 190370170 219608680 295243240 380740340 391197293 524056751 761480680 782394586 1048113502 1564789172 1955986465 2096227004 2620283755 3129578344 3911972930 4192454008 5240567510 7823945860 10481135020 15647891720 20962270040 27775007803 55550015606 111100031212 138875039015 222200062424 277750078030 555500156060 1111000312120