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10301115064136 = 23131921167723497
BaseRepresentation
bin1001010111100110101001…
…0011011101111101001000
31100110202222102100102000012
42111321222103131331020
52322233140424023021
633524133353531052
72112142143223541
oct225715223357510
940422872312005
1010301115064136
1133117509a4526
1211a4512713a88
13599510cb06a0
142788103b14c8
1512ce5046135b
hex95e6a4ddf48

10301115064136 has 96 divisors (see below), whose sum is σ = 21955515616440. Its totient is φ = 4503553883136.

The previous prime is 10301115064129. The next prime is 10301115064153. The reversal of 10301115064136 is 63146051110301.

It can be written as a sum of positive squares in 4 ways, for example, as 9741452476900 + 559662587236 = 3121130^2 + 748106^2 .

It is a super-2 number, since 2×103011150641362 (a number of 27 digits) contains 22 as substring.

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, 438389540 + ... + 438413036.

Almost surely, 210301115064136 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 10301115064136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977757808220).

10301115064136 is an abundant number, since it is smaller than the sum of its proper divisors (11654400552304).

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

10301115064136 is a wasteful number, since it uses less digits than its factorization.

10301115064136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35231 (or 35208 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

Adding to 10301115064136 its reverse (63146051110301), we get a palindrome (73447166174437).

The spelling of 10301115064136 in words is "ten trillion, three hundred one billion, one hundred fifteen million, sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 361 494 722 988 1444 1976 2888 4693 9386 11677 18772 23354 23497 37544 46708 46994 93416 93988 151801 187976 221863 303602 305461 443726 446443 607204 610922 887452 892886 1214408 1221844 1774904 1785772 2443688 2884219 3571544 4215397 5768438 5803759 8430794 8482417 11536876 11607518 16861588 16964834 23073752 23215036 33723176 33929668 46430072 54800161 67859336 109600322 110271421 219200644 220542842 274374469 438401288 441085684 548748938 882171368 1097497876 2194995752 3566868097 5213114911 7133736194 10426229822 14267472388 20852459644 28534944776 41704919288 67770493843 99049183309 135540987686 198098366618 271081975372 396196733236 542163950744 792393466472 1287639383017 2575278766034 5150557532068 10301115064136