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13013212111000 = 2353179643113063
BaseRepresentation
bin1011110101011101111111…
…1000101010000010011000
31201002001101010102022022221
42331113133320222002120
53201202024300023000
643402104225553424
72512113345604423
oct275273770520230
951061333368287
1013013212111000
114167965a8a2a2
12156206a4a5874
137351a9c94a8a
1432dbb2a069ba
1517878453661a
hexbd5dfe2a098

13013212111000 has 128 divisors (see below), whose sum is σ = 30668926579200. Its totient is φ = 5168109244800.

The previous prime is 13013212110989. The next prime is 13013212111027. The reversal of 13013212111000 is 11121231031.

It is a happy number.

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, 115040469 + ... + 115153531.

It is an arithmetic number, because the mean of its divisors is an integer number (239600988900).

Almost surely, 213013212111000 is an apocalyptic number.

13013212111000 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 13013212111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15334463289600).

13013212111000 is an abundant number, since it is smaller than the sum of its proper divisors (17655714468200).

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

13013212111000 is a wasteful number, since it uses less digits than its factorization.

13013212111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113906 (or 113892 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13013212111000 its reverse (11121231031), we get a palindrome (13024333342031).

The spelling of 13013212111000 in words is "thirteen trillion, thirteen billion, two hundred twelve million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 179 200 250 358 500 643 716 895 1000 1286 1432 1790 2572 3215 3580 4475 5144 6430 7160 8950 12860 16075 17900 22375 25720 32150 35800 44750 64300 80375 89500 113063 115097 128600 160750 179000 226126 230194 321500 452252 460388 565315 575485 643000 904504 920776 1130630 1150970 2261260 2301940 2826575 2877425 4522520 4603880 5653150 5754850 11306300 11509700 14132875 14387125 20238277 22612600 23019400 28265750 28774250 40476554 56531500 57548500 72699509 80953108 101191385 113063000 115097000 145399018 161906216 202382770 290798036 363497545 404765540 505956925 581596072 726995090 809531080 1011913850 1453990180 1817487725 2023827700 2529784625 2907980360 3634975450 4047655400 5059569250 7269950900 9087438625 10119138500 13013212111 14539901800 18174877250 20238277000 26026424222 36349754500 52052848444 65066060555 72699509000 104105696888 130132121110 260264242220 325330302775 520528484440 650660605550 1301321211100 1626651513875 2602642422200 3253303027750 6506606055500 13013212111000