Search a number
-
+
23332130100 = 22325247551587
BaseRepresentation
bin10101101110101101…
…000000110100110100
32020020001112000102200
4111232231000310310
5340241011130400
614415120304500
71454122555626
oct255655006464
966201460380
1023332130100
119993419754
124631a72130
13227ab29656
1411b4a66c16
15918568b00
hex56eb40d34

23332130100 has 108 divisors (see below), whose sum is σ = 74689427904. Its totient is φ = 6089509440.

The previous prime is 23332130077. The next prime is 23332130113. The reversal of 23332130100 is 103123332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 233494 + ... + 318093.

Almost surely, 223332130100 is an apocalyptic number.

23332130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23332130100 is an abundant number, since it is smaller than the sum of its proper divisors (51357297804).

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

23332130100 is a wasteful number, since it uses less digits than its factorization.

23332130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551654 (or 551644 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23332130100 its reverse (103123332), we get a palindrome (23435253432).

The spelling of 23332130100 in words is "twenty-three billion, three hundred thirty-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 47 50 60 75 90 94 100 141 150 180 188 225 235 282 300 423 450 470 564 705 846 900 940 1175 1410 1692 2115 2350 2820 3525 4230 4700 7050 8460 10575 14100 21150 42300 551587 1103174 1654761 2206348 2757935 3309522 4964283 5515870 6619044 8273805 9928566 11031740 13789675 16547610 19857132 24821415 25924589 27579350 33095220 41369025 49642830 51849178 55158700 77773767 82738050 99285660 103698356 124107075 129622945 155547534 165476100 233321301 248214150 259245890 311095068 388868835 466642602 496428300 518491780 648114725 777737670 933285204 1166606505 1296229450 1555475340 1944344175 2333213010 2592458900 3888688350 4666426020 5833032525 7777376700 11666065050 23332130100