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101420486600 = 23523119738291
BaseRepresentation
bin101111001110100100…
…0011100111111001000
3100200210011112112112112
41132131020130333020
53130202121032400
6114331505001452
710220202624566
oct1363510347710
9320704475475
10101420486600
113a015247774
12177a5623288
139743bb1c64
144ca1986a36
152988cc9835
hex179d21cfc8

101420486600 has 96 divisors (see below), whose sum is σ = 243561911040. Its totient is φ = 39234912000.

The previous prime is 101420486599. The next prime is 101420486603. The reversal of 101420486600 is 6684024101.

It is a super-2 number, since 2×1014204866002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101420486603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12228455 + ... + 12236745.

It is an arithmetic number, because the mean of its divisors is an integer number (2537103240).

Almost surely, 2101420486600 is an apocalyptic number.

101420486600 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 101420486600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121780955520).

101420486600 is an abundant number, since it is smaller than the sum of its proper divisors (142141424440).

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

101420486600 is a wasteful number, since it uses less digits than its factorization.

101420486600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10311 (or 10302 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 101420486600 in words is "one hundred one billion, four hundred twenty million, four hundred eighty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 1973 3100 3946 6200 7892 8291 9865 15784 16582 19730 33164 39460 41455 49325 61163 66328 78920 82910 98650 122326 165820 197300 207275 244652 257021 305815 331640 394600 414550 489304 514042 611630 829100 1028084 1223260 1285105 1529075 1658200 2056168 2446520 2570210 3058150 5140420 6116300 6425525 10280840 12232600 12851050 16358143 25702100 32716286 51404200 65432572 81790715 130865144 163581430 327162860 408953575 507102433 654325720 817907150 1014204866 1635814300 2028409732 2535512165 3271628600 4056819464 5071024330 10142048660 12677560825 20284097320 25355121650 50710243300 101420486600