Search a number
-
+
10230133100 = 22521161152461
BaseRepresentation
bin10011000011100001…
…10111000101101100
3222101221210121101112
421201300313011230
5131422403224400
64411043131152
7511340460635
oct114160670554
928357717345
1010230133100
11437a709460
121b96073ab8
13c705951c5
146d094a88c
153ed1ba835
hex261c3716c

10230133100 has 72 divisors (see below), whose sum is σ = 24614684976. Its totient is φ = 3659040000.

The previous prime is 10230133097. The next prime is 10230133127. The reversal of 10230133100 is 133103201.

It is a super-2 number, since 2×102301331002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9131 + ... + 143330.

Almost surely, 210230133100 is an apocalyptic number.

10230133100 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 10230133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307342488).

10230133100 is an abundant number, since it is smaller than the sum of its proper divisors (14384551876).

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

10230133100 is a wasteful number, since it uses less digits than its factorization.

10230133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152547 (or 152540 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10230133100 its reverse (133103201), we get a palindrome (10363236301).

The spelling of 10230133100 in words is "ten billion, two hundred thirty million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 220 244 275 305 550 610 671 1100 1220 1342 1525 2684 3050 3355 6100 6710 13420 16775 33550 67100 152461 304922 609844 762305 1524610 1677071 3049220 3354142 3811525 6708284 7623050 8385355 9300121 15246100 16770710 18600242 33541420 37200484 41926775 46500605 83853550 93001210 102301331 167707100 186002420 204602662 232503025 409205324 465006050 511506655 930012100 1023013310 2046026620 2557533275 5115066550 10230133100