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1011379096 = 2371317711151
BaseRepresentation
bin111100010010000…
…110101110011000
32121111002101022001
4330102012232120
54032403112341
6244205210344
734030403050
oct7422065630
92544071261
101011379096
114799960a2
122428609b4
131316c2690
1498470560
155dbccd31
hex3c486b98

1011379096 has 128 divisors (see below), whose sum is σ = 2508226560. Its totient is φ = 370944000.

The previous prime is 1011379067. The next prime is 1011379099. The reversal of 1011379096 is 6909731101.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011379099) 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, 878121 + ... + 879271.

It is an arithmetic number, because the mean of its divisors is an integer number (19595520).

Almost surely, 21011379096 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 1011379096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254113280).

1011379096 is an abundant number, since it is smaller than the sum of its proper divisors (1496847464).

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

1011379096 is a wasteful number, since it uses less digits than its factorization.

1011379096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 37.

The square root of 1011379096 is about 31802.1869688234. The cubic root of 1011379096 is about 1003.7787351752.

The spelling of 1011379096 in words is "one billion, eleven million, three hundred seventy-nine thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 71 91 104 119 136 142 182 221 238 284 364 442 476 497 568 728 884 923 952 994 1151 1207 1547 1768 1846 1988 2302 2414 3094 3692 3976 4604 4828 6188 6461 7384 8057 8449 9208 9656 12376 12922 14963 15691 16114 16898 19567 25844 29926 31382 32228 33796 39134 51688 59852 62764 64456 67592 78268 81721 104741 109837 119704 125528 136969 156536 163442 209482 219674 254371 273938 326884 418964 439348 508742 547876 572047 653768 837928 878696 1017484 1062373 1095752 1144094 1389257 1780597 2034968 2124746 2288188 2778514 3561194 4249492 4576376 5557028 7122388 7436611 8498984 9724799 11114056 14244776 14873222 18060341 19449598 29746444 36120682 38899196 59492888 72241364 77798392 126422387 144482728 252844774 505689548 1011379096