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1113102411630 = 235115989642361
BaseRepresentation
bin10000001100101010000…
…100101110011101101110
310221102010000120020112120
4100030222010232131232
5121214113204133010
62211204023413410
7143263500250236
oct20145204563556
93842100506476
101113102411630
1139a078324860
1215b8878b4266
1380c71456371
143bc35690cc6
151de4add1e70
hex1032a12e76e

1113102411630 has 128 divisors (see below), whose sum is σ = 2997004147200. Its totient is φ = 262288435200.

The previous prime is 1113102411581. The next prime is 1113102411637. The reversal of 1113102411630 is 361142013111.

It is a self number, because there is not a number n which added to its sum of digits gives 1113102411630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113102411637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1411650 + ... + 2054010.

It is an arithmetic number, because the mean of its divisors is an integer number (23414094900).

Almost surely, 21113102411630 is an apocalyptic number.

1113102411630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113102411630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498502073600).

1113102411630 is an abundant number, since it is smaller than the sum of its proper divisors (1883901735570).

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

1113102411630 is a wasteful number, since it uses less digits than its factorization.

1113102411630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642530.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 1113102411630 its reverse (361142013111), we get a palindrome (1474244424741).

The spelling of 1113102411630 in words is "one trillion, one hundred thirteen billion, one hundred two million, four hundred eleven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 89 110 118 165 177 178 267 295 330 354 445 534 590 649 885 890 979 1298 1335 1770 1947 1958 2670 2937 3245 3894 4895 5251 5874 6490 9735 9790 10502 14685 15753 19470 26255 29370 31506 52510 57761 78765 115522 157530 173283 288805 346566 577610 642361 866415 1284722 1732830 1927083 3211805 3854166 6423610 7065971 9635415 14131942 19270830 21197913 35329855 37899299 42395826 57170129 70659710 75798598 105989565 113697897 114340258 171510387 189496495 211979130 227395794 285850645 343020774 378992990 416892289 568489485 571701290 628871419 833784578 857551935 1136978970 1250676867 1257742838 1715103870 1886614257 2084461445 2501353734 3144357095 3373037611 3773228514 4168922890 6253384335 6288714190 6746075222 9433071285 10119112833 12506768670 16865188055 18866142570 20238225666 33730376110 37103413721 50595564165 74206827442 101191128330 111310241163 185517068605 222620482326 371034137210 556551205815 1113102411630