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100203000102 = 23331302319801
BaseRepresentation
bin101110101010010010…
…0000111000100100110
3100120122022121211001000
41131110210013010212
53120203432000402
6114011014014130
710145060306352
oct1352444070446
9316568554030
10100203000102
113954aa88087
1217505947346
1395ab8a744a
144bc7dc4462
152916e87c1c
hex1754907126

100203000102 has 64 divisors (see below), whose sum is σ = 229943992320. Its totient is φ = 32311224000.

The previous prime is 100203000049. The next prime is 100203000151. The reversal of 100203000102 is 201000302001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5050602 + ... + 5070402.

It is an arithmetic number, because the mean of its divisors is an integer number (3592874880).

Almost surely, 2100203000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100203000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114971996160).

100203000102 is an abundant number, since it is smaller than the sum of its proper divisors (129740992218).

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

100203000102 is a wasteful number, since it uses less digits than its factorization.

100203000102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22866 (or 22860 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100203000102 its reverse (201000302001), we get a palindrome (301203302103).

The spelling of 100203000102 in words is "one hundred billion, two hundred three million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 3023 6046 9069 18138 19801 27207 39602 54414 59403 81621 93713 118806 163242 178209 187426 281139 356418 534627 562278 613831 843417 1069254 1227662 1686834 1841493 2530251 3682986 5060502 5524479 11048958 16573437 33146874 59858423 119716846 179575269 359150538 538725807 1077451614 1616177421 1855611113 3232354842 3711222226 5566833339 11133666678 16700500017 33401000034 50101500051 100203000102