Search a number
-
+
10231104100 = 2252753972843
BaseRepresentation
bin10011000011101001…
…00100001001100100
3222102000121221100111
421201310210021210
5131423130312400
64411120022404
7511351643560
oct114164441144
928360557314
1010231104100
114380211a38
121b96461a04
13c70845169
146d0b206a0
153ed30d3ba
hex261d24264

10231104100 has 144 divisors (see below), whose sum is σ = 26127577728. Its totient is φ = 3404943360.

The previous prime is 10231104083. The next prime is 10231104119. The reversal of 10231104100 is 140113201.

It is a super-2 number, since 2×102311041002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3597279 + ... + 3600121.

It is an arithmetic number, because the mean of its divisors is an integer number (181441512).

Almost surely, 210231104100 is an apocalyptic number.

10231104100 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 10231104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063788864).

10231104100 is an abundant number, since it is smaller than the sum of its proper divisors (15896473628).

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

10231104100 is a wasteful number, since it uses less digits than its factorization.

10231104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10231104100 its reverse (140113201), we get a palindrome (10371217301).

The spelling of 10231104100 in words is "ten billion, two hundred thirty-one million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 97 100 106 140 175 194 212 265 350 371 388 485 530 679 700 742 970 1060 1325 1358 1484 1855 1940 2425 2650 2716 2843 3395 3710 4850 5141 5300 5686 6790 7420 9275 9700 10282 11372 13580 14215 16975 18550 19901 20564 25705 28430 33950 35987 37100 39802 51410 56860 67900 71075 71974 79604 99505 102820 128525 142150 143948 150679 179935 199010 257050 275771 284300 301358 359870 398020 497525 514100 551542 602716 719740 753395 899675 995050 1054753 1103084 1378855 1506790 1799350 1930397 1990100 2109506 2757710 3013580 3598700 3766975 3860794 4219012 5273765 5515420 6894275 7533950 7721588 9651985 10547530 13788550 14615863 15067900 19303970 21095060 26368825 27577100 29231726 38607940 48259925 52737650 58463452 73079315 96519850 102311041 105475300 146158630 193039700 204622082 292317260 365396575 409244164 511555205 730793150 1023110410 1461586300 2046220820 2557776025 5115552050 10231104100