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100212023130 = 23517599328037
BaseRepresentation
bin101110101010100011…
…0100001111101011010
3100120122221121020022020
41131111012201331122
53120213234220010
6114011535235310
710145230066512
oct1352506417532
9316587536266
10100212023130
113955509022a
1217508978b36
1395b071640b
144bc9292842
152917b6b470
hex17551a1f5a

100212023130 has 64 divisors (see below), whose sum is σ = 255082348800. Its totient is φ = 25109187584.

The previous prime is 100212023129. The next prime is 100212023231. The reversal of 100212023130 is 31320212001.

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

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, 141472 + ... + 469508.

It is an arithmetic number, because the mean of its divisors is an integer number (3985661700).

Almost surely, 2100212023130 is an apocalyptic number.

100212023130 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 100212023130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127541174400).

100212023130 is an abundant number, since it is smaller than the sum of its proper divisors (154870325670).

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

100212023130 is a wasteful number, since it uses less digits than its factorization.

100212023130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328663.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100212023130 its reverse (31320212001), we get a palindrome (131532235131).

The spelling of 100212023130 in words is "one hundred billion, two hundred twelve million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 599 1198 1797 2995 3594 5990 8985 10183 17970 20366 30549 50915 61098 101830 152745 305490 328037 656074 984111 1640185 1968222 3280370 4920555 5576629 9841110 11153258 16729887 27883145 33459774 55766290 83649435 167298870 196494163 392988326 589482489 982470815 1178964978 1964941630 2947412445 3340400771 5894824890 6680801542 10021202313 16702003855 20042404626 33404007710 50106011565 100212023130