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1011610116 = 2232112819091
BaseRepresentation
bin111100010010111…
…111001000000100
32121111112010012100
4330102333020010
54032433010431
6244214152100
734032354426
oct7422771004
92544463170
101011610116
1147a033720
12242952630
1313177388a
14984d0816
155dc264e6
hex3c4bf204

1011610116 has 72 divisors (see below), whose sum is σ = 2799826848. Its totient is φ = 305424000.

The previous prime is 1011610051. The next prime is 1011610123. The reversal of 1011610116 is 6110161101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106731 + ... + 115821.

It is an arithmetic number, because the mean of its divisors is an integer number (38886484).

Almost surely, 21011610116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011610116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399913424).

1011610116 is an abundant number, since it is smaller than the sum of its proper divisors (1788216732).

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

1011610116 is a wasteful number, since it uses less digits than its factorization.

1011610116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9393 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 1011610116 is about 31805.8189015784. The cubic root of 1011610116 is about 1003.8551573299.

Adding to 1011610116 its reverse (6110161101), we get a palindrome (7121771217).

The spelling of 1011610116 in words is "one billion, eleven million, six hundred ten thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 281 396 562 843 1124 1686 2529 3091 3372 5058 6182 9091 9273 10116 12364 18182 18546 27273 27819 36364 37092 54546 55638 81819 100001 109092 111276 163638 200002 300003 327276 400004 600006 900009 1200012 1800018 2554571 3600036 5109142 7663713 10218284 15327426 22991139 28100281 30654852 45982278 56200562 84300843 91964556 112401124 168601686 252902529 337203372 505805058 1011610116