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11323000104 = 2331359837411
BaseRepresentation
bin10101000101110011…
…10100010100101000
31002020010020000002020
422202321310110220
5141142142000404
65111323104440
7550410625053
oct124271642450
932203200066
1011323000104
1148905a1629
122240072120
1310b5b19280
14795b4da9a
154640e2ed9
hex2a2e74528

11323000104 has 128 divisors (see below), whose sum is σ = 31379443200. Its totient is φ = 3383228160.

The previous prime is 11323000103. The next prime is 11323000121. The reversal of 11323000104 is 40100032311.

It is not an unprimeable number, because it can be changed into a prime (11323000103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1524159 + ... + 1531569.

It is an arithmetic number, because the mean of its divisors is an integer number (245151900).

Almost surely, 211323000104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15689721600).

11323000104 is an abundant number, since it is smaller than the sum of its proper divisors (20056443096).

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

11323000104 is a wasteful number, since it uses less digits than its factorization.

11323000104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7575 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11323000104 its reverse (40100032311), we get a palindrome (51423032415).

The spelling of 11323000104 in words is "eleven billion, three hundred twenty-three million, one hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 83 104 118 156 166 177 236 249 312 332 354 472 498 664 708 767 996 1079 1416 1534 1992 2158 2301 3068 3237 4316 4602 4897 6136 6474 7411 8632 9204 9794 12948 14691 14822 18408 19588 22233 25896 29382 29644 39176 44466 58764 59288 63661 88932 96343 117528 127322 177864 190983 192686 254644 289029 381966 385372 437249 509288 578058 615113 763932 770744 874498 1156116 1230226 1311747 1527864 1748996 1845339 2312232 2460452 2623494 3497992 3690678 4920904 5246988 5684237 7381356 7996469 10493976 11368474 14762712 15992938 17052711 22736948 23989407 31985876 34105422 36291667 45473896 47978814 63971752 68210844 72583334 95957628 108875001 136421688 145166668 191915256 217750002 290333336 435500004 471791671 871000008 943583342 1415375013 1887166684 2830750026 3774333368 5661500052 11323000104