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100234152420 = 223510919379411
BaseRepresentation
bin101110101011001101…
…0111100100111100100
3100120201111020111222120
41131112122330213210
53120234420334140
6114014045425540
710145616144423
oct1352632744744
9316644214876
10100234152420
11395666252a6
121751426b2b0
1395b5193a7c
144bcc1b32ba
152919a8d1d0
hex17566bc9e4

100234152420 has 96 divisors (see below), whose sum is σ = 284701549440. Its totient is φ = 26346332160.

The previous prime is 100234152379. The next prime is 100234152617. The reversal of 100234152420 is 24251432001.

It is a super-2 number, since 2×1002341524202 (a number of 23 digits) contains 22 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, 1222515 + ... + 1301925.

It is an arithmetic number, because the mean of its divisors is an integer number (2965641140).

Almost surely, 2100234152420 is an apocalyptic number.

100234152420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100234152420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142350774720).

100234152420 is an abundant number, since it is smaller than the sum of its proper divisors (184467397020).

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

100234152420 is a wasteful number, since it uses less digits than its factorization.

100234152420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79725 (or 79723 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 100234152420 its reverse (24251432001), we get a palindrome (124485584421).

The spelling of 100234152420 in words is "one hundred billion, two hundred thirty-four million, one hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 193 218 327 386 436 545 579 654 772 965 1090 1158 1308 1635 1930 2180 2316 2895 3270 3860 5790 6540 11580 21037 42074 63111 79411 84148 105185 126222 158822 210370 238233 252444 315555 317644 397055 420740 476466 631110 794110 952932 1191165 1262220 1588220 2382330 4764660 8655799 15326323 17311598 25967397 30652646 34623196 43278995 45978969 51934794 61305292 76631615 86557990 91957938 103869588 129836985 153263230 173115980 183915876 229894845 259673970 306526460 459789690 519347940 919579380 1670569207 3341138414 5011707621 6682276828 8352846035 10023415242 16705692070 20046830484 25058538105 33411384140 50117076210 100234152420