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11313211032 = 2338673217
BaseRepresentation
bin10101000100101000…
…11110011010011000
31002012102210200000000
422202110132122120
5141132140223112
65110333213000
7550231464354
oct124224363230
932172720000
1011313211032
114886015992
122238931160
1310b3a9c716
14794722464
1546330c7dc
hex2a251e698

11313211032 has 144 divisors (see below), whose sum is σ = 32301704760. Its totient is φ = 3713630976.

The previous prime is 11313211027. The next prime is 11313211061. The reversal of 11313211032 is 23011231311.

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

It is a junction number, because it is equal to n+sod(n) for n = 11313210996 and 11313211014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3515088 + ... + 3518304.

Almost surely, 211313211032 is an apocalyptic number.

11313211032 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 11313211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16150852380).

11313211032 is an abundant number, since it is smaller than the sum of its proper divisors (20988493728).

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

11313211032 is an frugal number, since it uses more digits than its factorization.

11313211032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11313211032 its reverse (23011231311), we get a palindrome (34324442343).

The spelling of 11313211032 in words is "eleven billion, three hundred thirteen million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 243 268 324 402 486 536 603 648 729 804 972 1206 1458 1608 1809 1944 2187 2412 2916 3217 3618 4374 4824 5427 5832 6434 6561 7236 8748 9651 10854 12868 13122 14472 16281 17496 19302 21708 25736 26244 28953 32562 38604 43416 48843 52488 57906 65124 77208 86859 97686 115812 130248 146529 173718 195372 215539 231624 260577 293058 347436 390744 431078 439587 521154 586116 646617 694872 781731 862156 879174 1042308 1172232 1293234 1563462 1724312 1758348 1939851 2084616 2345193 2586468 3126924 3516696 3879702 4690386 5172936 5819553 6253848 7035579 7759404 9380772 11639106 14071158 15518808 17458659 18761544 21106737 23278212 28142316 34917318 42213474 46556424 52375977 56284632 69834636 84426948 104751954 139669272 157127931 168853896 209503908 314255862 419007816 471383793 628511724 942767586 1257023448 1414151379 1885535172 2828302758 3771070344 5656605516 11313211032