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10122313344 = 2731113184337
BaseRepresentation
bin10010110110101011…
…00011111010000000
3222010102220210111020
421123111203322000
5131212303011334
64352232145440
7505561146423
oct113325437200
928112823436
1010122313344
114324866920
121b65b38280
13c54144330
146c04c19ba
153e39bde49
hex25b563e80

10122313344 has 128 divisors (see below), whose sum is σ = 31588159680. Its totient is φ = 2831400960.

The previous prime is 10122313337. The next prime is 10122313373. The reversal of 10122313344 is 44331322101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×101223133442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37257 + ... + 147080.

Almost surely, 210122313344 is an apocalyptic number.

It is an amenable number.

10122313344 is an abundant number, since it is smaller than the sum of its proper divisors (21465846336).

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

10122313344 is a wasteful number, since it uses less digits than its factorization.

10122313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184378 (or 184366 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10122313344 its reverse (44331322101), we get a palindrome (54453635445).

The spelling of 10122313344 in words is "ten billion, one hundred twenty-two million, three hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6864 9152 13728 18304 27456 54912 184337 368674 553011 737348 1106022 1474696 2027707 2212044 2396381 2949392 4055414 4424088 4792762 5898784 6083121 7189143 8110828 8848176 9585524 11797568 12166242 14378286 16221656 17696352 19171048 23595136 24332484 26360191 28756572 32443312 35392704 38342096 48664968 52720382 57513144 64886624 70785408 76684192 79080573 97329936 105440764 115026288 129773248 153368384 158161146 194659872 210881528 230052576 259546496 306736768 316322292 389319744 421763056 460105152 632644584 778639488 843526112 920210304 1265289168 1687052224 2530578336 3374104448 5061156672 10122313344