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1121313000 = 233531392689
BaseRepresentation
bin100001011010101…
…1110000011101000
32220010221121021010
41002311132003220
54244024004000
6303133343520
736534001053
oct10265360350
92803847233
101121313000
11525a52065
12273637ba0
1314b403922
14a8cc9a9a
1568695d50
hex42d5e0e8

1121313000 has 128 divisors (see below), whose sum is σ = 3524976000. Its totient is φ = 296755200.

The previous prime is 1121312993. The next prime is 1121313001. The reversal of 1121313000 is 3131211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1121313001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415656 + ... + 418344.

It is an arithmetic number, because the mean of its divisors is an integer number (27538875).

Almost surely, 21121313000 is an apocalyptic number.

1121313000 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 1121313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762488000).

1121313000 is an abundant number, since it is smaller than the sum of its proper divisors (2403663000).

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

1121313000 is a wasteful number, since it uses less digits than its factorization.

1121313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1121313000 is about 33486.0120050149. The cubic root of 1121313000 is about 1038.9044800305.

Adding to 1121313000 its reverse (3131211), we get a palindrome (1124444211).

The spelling of 1121313000 in words is "one billion, one hundred twenty-one million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 139 150 200 250 278 300 375 417 500 556 600 695 750 834 1000 1112 1390 1500 1668 2085 2689 2780 3000 3336 3475 4170 5378 5560 6950 8067 8340 10425 10756 13445 13900 16134 16680 17375 20850 21512 26890 27800 32268 34750 40335 41700 52125 53780 64536 67225 69500 80670 83400 104250 107560 134450 139000 161340 201675 208500 268900 322680 336125 373771 403350 417000 537800 672250 747542 806700 1008375 1121313 1344500 1495084 1613400 1868855 2016750 2242626 2689000 2990168 3737710 4033500 4485252 5606565 7475420 8067000 8970504 9344275 11213130 14950840 18688550 22426260 28032825 37377100 44852520 46721375 56065650 74754200 93442750 112131300 140164125 186885500 224262600 280328250 373771000 560656500 1121313000