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100002131020 = 225112319763267
BaseRepresentation
bin101110100100010010…
…1110110110001001100
3100120010022122121110101
41131020211312301030
53114301021143040
6113535040420444
710140101042251
oct1351045666114
9316108577411
10100002131020
1139457661180
121746a617724
1395790a76bc
144ba9457428
15290450b09a
hex1748976c4c

100002131020 has 48 divisors (see below), whose sum is σ = 239056489728. Its totient is φ = 34783348160.

The previous prime is 100002131003. The next prime is 100002131027. The reversal of 100002131020 is 20131200001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100002130988 and 100002131006.

It is not an unprimeable number, because it can be changed into a prime (100002131027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9876574 + ... + 9886693.

It is an arithmetic number, because the mean of its divisors is an integer number (4980343536).

Almost surely, 2100002131020 is an apocalyptic number.

100002131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002131020 is an abundant number, since it is smaller than the sum of its proper divisors (139054358708).

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

100002131020 is a wasteful number, since it uses less digits than its factorization.

100002131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19763310 (or 19763308 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100002131020 its reverse (20131200001), we get a palindrome (120133331021).

The spelling of 100002131020 in words is "one hundred billion, two million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 19763267 39526534 79053068 98816335 197632670 217395937 395265340 434791874 454555141 869583748 909110282 1086979685 1818220564 2173959370 2272775705 4347918740 4545551410 5000106551 9091102820 10000213102 20000426204 25000532755 50001065510 100002131020