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13133131022000 = 2453114651128351
BaseRepresentation
bin1011111100011100101110…
…0110111111111010110000
31201111111220111000011122002
42333013023212333322300
53210133123020201000
643533135504233132
72523560141536643
oct277071346777260
951444814004562
1013133131022000
11420380309a010
12158135700b7a8
137435ab42a192
1433590b281a5a
1517b9523208d5
hexbf1cb9bfeb0

13133131022000 has 160 divisors (see below), whose sum is σ = 34650530224128. Its totient is φ = 4774620000000.

The previous prime is 13133131021993. The next prime is 13133131022041. The reversal of 13133131022000 is 22013133131.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 102257825 + ... + 102386175.

Almost surely, 213133131022000 is an apocalyptic number.

13133131022000 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 13133131022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17325265112064).

13133131022000 is an abundant number, since it is smaller than the sum of its proper divisors (21517399202128).

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

13133131022000 is a wasteful number, since it uses less digits than its factorization.

13133131022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133036 (or 133020 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13133131022000 its reverse (22013133131), we get a palindrome (13155144155131).

The spelling of 13133131022000 in words is "thirteen trillion, one hundred thirty-three billion, one hundred thirty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 4651 5500 9302 11000 18604 22000 23255 37208 46510 51161 74416 93020 102322 116275 128351 186040 204644 232550 255805 256702 372080 409288 465100 511610 513404 581375 641755 818576 930200 1023220 1026808 1162750 1279025 1283510 1411861 1860400 2046440 2053616 2325500 2558050 2567020 2823722 3208775 4092880 4651000 5116100 5134040 5647444 6395125 6417550 7059305 9302000 10232200 10268080 11294888 12790250 12835100 14118610 16043875 20464400 22589776 25580500 25670200 28237220 32087750 35296525 51161000 51340400 56474440 64175500 70593050 102322000 112948880 128351000 141186100 176482625 256702000 282372200 352965250 564744400 596960501 705930500 1193921002 1411861000 2387842004 2823722000 2984802505 4775684008 5969605010 6566565511 9551368016 11939210020 13133131022 14924012525 23878420040 26266262044 29848025050 32832827555 47756840080 52532524088 59696050100 65665655110 74620062625 105065048176 119392100200 131331310220 149240125250 164164137775 238784200400 262662620440 298480250500 328328275550 525325240880 596960501000 656656551100 820820688875 1193921002000 1313313102200 1641641377750 2626626204400 3283282755500 6566565511000 13133131022000