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11430233232 = 2431167973331
BaseRepresentation
bin10101010010100101…
…11000010010010000
31002111121000000021120
422221102320102100
5141402114430412
65130113322240
7553152244065
oct125122702220
932447000246
1011430233232
114936083450
12226bb66380
1311020c3122
147a60a4c6c
1546d725b8c
hex2a94b8490

11430233232 has 160 divisors (see below), whose sum is σ = 33040218624. Its totient is φ = 3375820800.

The previous prime is 11430233209. The next prime is 11430233239. The reversal of 11430233232 is 23233203411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11430233239) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3429807 + ... + 3433137.

Almost surely, 211430233232 is an apocalyptic number.

11430233232 is a gapful number since it is divisible by the number (12) 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 11430233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16520109312).

11430233232 is an abundant number, since it is smaller than the sum of its proper divisors (21609985392).

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

11430233232 is a wasteful number, since it uses less digits than its factorization.

11430233232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 11430233232 its reverse (23233203411), we get a palindrome (34663436643).

The spelling of 11430233232 in words is "eleven billion, four hundred thirty million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 97 132 134 176 194 201 264 268 291 388 402 528 536 582 737 776 804 1067 1072 1164 1474 1552 1608 2134 2211 2328 2948 3201 3216 3331 4268 4422 4656 5896 6402 6499 6662 8536 8844 9993 11792 12804 12998 13324 17072 17688 19497 19986 25608 25996 26648 35376 36641 38994 39972 51216 51992 53296 71489 73282 77988 79944 103984 109923 142978 146564 155976 159888 214467 219846 223177 285956 293128 311952 323107 428934 439692 446354 571912 586256 646214 669531 857868 879384 892708 969321 1143824 1292428 1339062 1715736 1758768 1785416 1938642 2454947 2584856 2678124 3431472 3554177 3570832 3877284 4909894 5169712 5356248 7108354 7364841 7754568 9819788 10662531 10712496 14216708 14729682 15509136 19639576 21325062 21648169 28433416 29459364 39279152 42650124 43296338 56866832 58918728 64944507 85300248 86592676 117837456 129889014 170600496 173185352 238129859 259778028 346370704 476259718 519556056 714389577 952519436 1039112112 1428779154 1905038872 2857558308 3810077744 5715116616 11430233232