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100424124210 = 235231381105389
BaseRepresentation
bin101110110000110111…
…1101000011100110010
3100121012201201002021210
41131201233220130302
53121132033433320
6114044553300550
710153413654144
oct1354157503462
9317181632253
10100424124210
1139653888983
1217567a04756
139615649707
144c09504c94
15292b5b60e0
hex1761be8732

100424124210 has 64 divisors (see below), whose sum is σ = 251681437440. Its totient is φ = 25596637440.

The previous prime is 100424124197. The next prime is 100424124223. The reversal of 100424124210 is 12421424001.

It is an interprime number because it is at equal distance from previous prime (100424124197) and next prime (100424124223).

It is a super-3 number, since 3×1004241242103 (a number of 34 digits) contains 333 as substring.

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, 900196 + ... + 1005584.

It is an arithmetic number, because the mean of its divisors is an integer number (3932522460).

Almost surely, 2100424124210 is an apocalyptic number.

100424124210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100424124210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125840718720).

100424124210 is an abundant number, since it is smaller than the sum of its proper divisors (151257313230).

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

100424124210 is a wasteful number, since it uses less digits than its factorization.

100424124210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106803.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 100424124210 its reverse (12421424001), we get a palindrome (112845548211).

The spelling of 100424124210 in words is "one hundred billion, four hundred twenty-four million, one hundred twenty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1381 2762 4143 6905 8286 13810 20715 31763 41430 63526 95289 105389 158815 190578 210778 316167 317630 476445 526945 632334 952890 1053890 1580835 2423947 3161670 4847894 7271841 12119735 14543682 24239470 36359205 72718410 145542209 291084418 436626627 727711045 873253254 1455422090 2183133135 3347470807 4366266270 6694941614 10042412421 16737354035 20084824842 33474708070 50212062105 100424124210