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10301011310996 = 2273783278942953
BaseRepresentation
bin1001010111100110010000…
…0111101011100110010100
31100110202201012010012110022
42111321210013223212110
52322232432343422441
633524115210044312
72112136443310340
oct225714407534624
940422635105408
1010301011310996
1133116a837a22a
1211a44a3a19698
135994c56547b3
142788006c4620
1512ce462b984b
hex95e641eb994

10301011310996 has 96 divisors (see below), whose sum is σ = 21421936408320. Its totient is φ = 4242030234624.

The previous prime is 10301011310971. The next prime is 10301011310999. The reversal of 10301011310996 is 69901311010301.

10301011310996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103010113109962 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301011310999) 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, 239799056 + ... + 239842008.

It is an arithmetic number, because the mean of its divisors is an integer number (223145170920).

Almost surely, 210301011310996 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 10301011310996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710968204160).

10301011310996 is an abundant number, since it is smaller than the sum of its proper divisors (11120925097324).

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

10301011310996 is a wasteful number, since it uses less digits than its factorization.

10301011310996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45873 (or 45871 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 35.

The spelling of 10301011310996 in words is "ten trillion, three hundred one billion, eleven million, three hundred ten thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 37 74 83 148 166 259 332 518 581 1036 1162 2324 2789 3071 5578 6142 11156 12284 19523 21497 39046 42953 42994 78092 85906 85988 103193 171812 206386 231487 300671 412772 462974 601342 722351 925948 1202684 1444702 1589261 1620409 2889404 3178522 3240818 3565099 6357044 6481636 7130198 8565019 11124827 14260396 17130038 22249654 24955693 34260076 44499308 49911386 59955133 99822772 119795917 119910266 131908663 239591834 239820532 263817326 479183668 527634652 838571419 923360641 1677142838 1846721282 3354285676 3693442564 4432448929 8864897858 9943061111 17729795716 19886122222 31027142503 39772244444 62054285006 69601427777 124108570012 139202855554 278405711108 367893261107 735786522214 1471573044428 2575252827749 5150505655498 10301011310996