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100102000200 = 23352414069187
BaseRepresentation
bin101110100111010001…
…0110100111001001000
3100120101021120111012220
41131032202310321020
53120002103001300
6113553005134040
710142422651116
oct1351642647110
9316337514186
10100102000200
11394a8a73394
1217497b5a320
1395939a37a7
144bb8812ab6
15290d186da0
hex174e8b4e48

100102000200 has 96 divisors (see below), whose sum is σ = 317884966560. Its totient is φ = 26042790400.

The previous prime is 100102000147. The next prime is 100102000249. The reversal of 100102000200 is 2000201001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2009994 + ... + 2059193.

It is an arithmetic number, because the mean of its divisors is an integer number (3311301735).

Almost surely, 2100102000200 is an apocalyptic number.

100102000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102000200 is an abundant number, since it is smaller than the sum of its proper divisors (217782966360).

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

100102000200 is a wasteful number, since it uses less digits than its factorization.

100102000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069247 (or 4069238 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 100102000200 its reverse (2000201001), we get a palindrome (102102201201).

The spelling of 100102000200 in words is "one hundred billion, one hundred two million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 12300 24600 4069187 8138374 12207561 16276748 20345935 24415122 32553496 40691870 48830244 61037805 81383740 97660488 101729675 122075610 162767480 166836667 203459350 244151220 305189025 333673334 406918700 488302440 500510001 610378050 667346668 813837400 834183335 1001020002 1220756100 1334693336 1668366670 2002040004 2441512200 2502550005 3336733340 4004080008 4170916675 5005100010 6673466680 8341833350 10010200020 12512750025 16683666700 20020400040 25025500050 33367333400 50051000100 100102000200