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10301017056 = 2531115164601
BaseRepresentation
bin10011001011111110…
…10000101111100000
3222120220011212220020
421211333100233200
5132044030021211
64422054313440
7513161125461
oct114577205740
928526155806
1010301017056
114406723640
121bb5958880
13c82183185
146da11cd68
1540451d306
hex265fd0be0

10301017056 has 96 divisors (see below), whose sum is σ = 29694180096. Its totient is φ = 3100800000.

The previous prime is 10301017033. The next prime is 10301017057. The reversal of 10301017056 is 65071010301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×103010170562 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301017057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127156 + ... + 191756.

It is an arithmetic number, because the mean of its divisors is an integer number (309314376).

Almost surely, 210301017056 is an apocalyptic number.

10301017056 is a gapful number since it is divisible by the number (16) 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 10301017056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14847090048).

10301017056 is an abundant number, since it is smaller than the sum of its proper divisors (19393163040).

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

10301017056 is a wasteful number, since it uses less digits than its factorization.

10301017056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64776 (or 64768 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

Adding to 10301017056 its reverse (65071010301), we get a palindrome (75372027357).

The spelling of 10301017056 in words is "ten billion, three hundred one million, seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 151 176 264 302 352 453 528 604 906 1056 1208 1661 1812 2416 3322 3624 4832 4983 6644 7248 9966 13288 14496 19932 26576 39864 53152 64601 79728 129202 159456 193803 258404 387606 516808 710611 775212 1033616 1421222 1550424 2067232 2131833 2842444 3100848 4263666 5684888 6201696 8527332 9754751 11369776 17054664 19509502 22739552 29264253 34109328 39019004 58528506 68218656 78038008 107302261 117057012 156076016 214604522 234114024 312152032 321906783 429209044 468228048 643813566 858418088 936456096 1287627132 1716836176 2575254264 3433672352 5150508528 10301017056