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101240005200 = 24352138161091
BaseRepresentation
bin101111001001001011…
…1111110001001010000
3100200022120221010121020
41132102113332021100
53124314420131300
6114301540355440
710212551563005
oct1362227761120
9320276833536
10101240005200
1139a32386394
12177550a5b80
13971569cc29
144c85a058ac
1529780288a0
hex17925fe250

101240005200 has 120 divisors (see below), whose sum is σ = 324545629536. Its totient is φ = 26977344000.

The previous prime is 101240005199. The next prime is 101240005201. The reversal of 101240005200 is 2500042101.

It is an interprime number because it is at equal distance from previous prime (101240005199) and next prime (101240005201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101240005200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101240005201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1626655 + ... + 1687745.

Almost surely, 2101240005200 is an apocalyptic number.

101240005200 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 101240005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162272814768).

101240005200 is an abundant number, since it is smaller than the sum of its proper divisors (223305624336).

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

101240005200 is a wasteful number, since it uses less digits than its factorization.

101240005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62493 (or 62482 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 101240005200 its reverse (2500042101), we get a palindrome (103740047301).

The spelling of 101240005200 in words is "one hundred one billion, two hundred forty million, five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1381 2762 4143 5524 6905 8286 11048 13810 16572 20715 22096 27620 33144 34525 41430 55240 61091 66288 69050 82860 103575 110480 122182 138100 165720 183273 207150 244364 276200 305455 331440 366546 414300 488728 552400 610910 733092 828600 916365 977456 1221820 1466184 1527275 1657200 1832730 2443640 2932368 3054550 3665460 4581825 4887280 6109100 7330920 9163650 12218200 14661840 18327300 24436400 36654600 73309200 84366671 168733342 253100013 337466684 421833355 506200026 674933368 843666710 1012400052 1265500065 1349866736 1687333420 2024800104 2109166775 2531000130 3374666840 4049600208 4218333550 5062000260 6327500325 6749333680 8436667100 10124000520 12655000650 16873334200 20248001040 25310001300 33746668400 50620002600 101240005200