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11353155105420 = 22325179907374501
BaseRepresentation
bin1010010100110101110011…
…0001101111001010001100
31111012100110220021211122200
42211031130301233022030
52442002230201333140
640051322323041500
72251144524066552
oct245153461571214
944170426254580
1011353155105420
1136879340986a7
121334398810290
136447a087285b
142b36d2067bd2
1514a4c56de030
hexa535cc6f28c

11353155105420 has 144 divisors (see below), whose sum is σ = 36467440839648. Its totient is φ = 2849124096000.

The previous prime is 11353155105359. The next prime is 11353155105473. The reversal of 11353155105420 is 2450155135311.

11353155105420 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 31 + 551 + 0 + 54 + 20 = 666.

11353155105420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113531551054202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 30128170 + ... + 30502670.

It is an arithmetic number, because the mean of its divisors is an integer number (253246116942).

Almost surely, 211353155105420 is an apocalyptic number.

11353155105420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11353155105420 is an abundant number, since it is smaller than the sum of its proper divisors (25114285734228).

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

11353155105420 is a wasteful number, since it uses less digits than its factorization.

11353155105420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384440 (or 384435 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 11353155105420 in words is "eleven trillion, three hundred fifty-three billion, one hundred fifty-five million, one hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 9907 19814 29721 39628 49535 59442 89163 99070 118884 148605 168419 178326 198140 297210 336838 356652 374501 445815 505257 594420 673676 749002 842095 891630 1010514 1123503 1498004 1515771 1684190 1783260 1872505 2021028 2247006 2526285 3031542 3368380 3370509 3745010 4494012 5052570 5617515 6063084 6366517 6741018 7490020 7578855 10105140 11235030 12733034 13482036 15157710 16852545 19099551 22470060 25466068 30315420 31832585 33705090 38199102 57298653 63665170 67410180 76398204 95497755 114597306 127330340 190995510 229194612 286493265 381991020 572986530 1145973060 3710181407 7420362814 11130544221 14840725628 18550907035 22261088442 33391632663 37101814070 44522176884 55652721105 63073083919 66783265326 74203628140 111305442210 126146167838 133566530652 166958163315 189219251757 222610884420 252292335676 315365419595 333916326630 378438503514 567657755271 630730839190 667832653260 756877007028 946096258785 1135315510542 1261461678380 1892192517570 2270631021084 2838288776355 3784385035140 5676577552710 11353155105420