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101030501312 = 2613827146833
BaseRepresentation
bin101111000010111100…
…0110001101111000000
3100122202222201020021222
41132011320301233000
53123402302020222
6114225054134212
710204426043336
oct1360570615700
9318688636258
10101030501312
11399350a1a84
12176b6ab1368
1396b1168b30
144c65c6bb56
152964943542
hex1785e31bc0

101030501312 has 56 divisors (see below), whose sum is σ = 216166665456. Its totient is φ = 46572761088.

The previous prime is 101030501303. The next prime is 101030501317. The reversal of 101030501312 is 213105030101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101030501317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 614648 + ... + 761480.

It is an arithmetic number, because the mean of its divisors is an integer number (3860119026).

Almost surely, 2101030501312 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 101030501312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108083332728).

101030501312 is an abundant number, since it is smaller than the sum of its proper divisors (115136164144).

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

101030501312 is a wasteful number, since it uses less digits than its factorization.

101030501312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147685 (or 147675 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

Adding to 101030501312 its reverse (213105030101), we get a palindrome (314135531413).

The spelling of 101030501312 in words is "one hundred one billion, thirty million, five hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 827 832 1654 3308 6616 10751 13232 21502 26464 43004 52928 86008 146833 172016 293666 344032 587332 688064 1174664 1908829 2349328 3817658 4698656 7635316 9397312 15270632 30541264 61082528 121430891 122165056 242861782 485723564 971447128 1578601583 1942894256 3157203166 3885788512 6314406332 7771577024 12628812664 25257625328 50515250656 101030501312