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101053414360 = 23531206339503
BaseRepresentation
bin101111000011101000…
…0001011101111011000
3100122211120211100002101
41132013100023233120
53123424133224420
6114231233213144
710205124564253
oct1360720135730
9318746740071
10101053414360
1139947021988
12177027011b4
1396b5b2c152
144c68d1409a
15296696c60a
hex178740bbd8

101053414360 has 64 divisors (see below), whose sum is σ = 234824417280. Its totient is φ = 39097499520.

The previous prime is 101053414333. The next prime is 101053414393. The reversal of 101053414360 is 63414350101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2538369 + ... + 2577871.

It is an arithmetic number, because the mean of its divisors is an integer number (3669131520).

Almost surely, 2101053414360 is an apocalyptic number.

101053414360 is a gapful number since it is divisible by the number (10) 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 101053414360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117412208640).

101053414360 is an abundant number, since it is smaller than the sum of its proper divisors (133771002920).

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

101053414360 is a wasteful number, since it uses less digits than its factorization.

101053414360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41608 (or 41604 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 101053414360 its reverse (63414350101), we get a palindrome (164467764461).

The spelling of 101053414360 in words is "one hundred one billion, fifty-three million, four hundred fourteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2063 4126 8252 10315 16504 20630 39503 41260 63953 79006 82520 127906 158012 197515 255812 316024 319765 395030 511624 639530 790060 1224593 1279060 1580120 2449186 2558120 4898372 6122965 9796744 12245930 24491860 48983720 81494689 162989378 325978756 407473445 651957512 814946890 1629893780 2526335359 3259787560 5052670718 10105341436 12631676795 20210682872 25263353590 50526707180 101053414360