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11311522152 = 23371729136573
BaseRepresentation
bin10101000100011100…
…00010000101101000
31002012022121212021220
422202032002011220
5141131222202102
65110233102040
7550211231460
oct124216020550
932168555256
1011311522152
114885072017
122238257920
1310b362aa98
14794402ba0
154630c71bc
hex2a2382168

11311522152 has 128 divisors (see below), whose sum is σ = 35399980800. Its totient is φ = 2936844288.

The previous prime is 11311522151. The next prime is 11311522177. The reversal of 11311522152 is 25122511311.

It is a super-2 number, since 2×113115221522 (a number of 21 digits) contains 22 as substring.

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 (11311522151) 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, 14538 + ... + 151110.

It is an arithmetic number, because the mean of its divisors is an integer number (276562350).

Almost surely, 211311522152 is an apocalyptic number.

11311522152 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 11311522152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17699990400).

11311522152 is an abundant number, since it is smaller than the sum of its proper divisors (24088458648).

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

11311522152 is a wasteful number, since it uses less digits than its factorization.

11311522152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136635 (or 136631 counting only the distinct ones).

The product of its digits is 600, while the sum is 24.

The spelling of 11311522152 in words is "eleven billion, three hundred eleven million, five hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 29 34 42 51 56 58 68 84 87 102 116 119 136 168 174 203 204 232 238 348 357 406 408 476 493 609 696 714 812 952 986 1218 1428 1479 1624 1972 2436 2856 2958 3451 3944 4872 5916 6902 10353 11832 13804 20706 27608 41412 82824 136573 273146 409719 546292 819438 956011 1092584 1638876 1912022 2321741 2868033 3277752 3824044 3960617 4643482 5736066 6965223 7648088 7921234 9286964 11472132 11881851 13930446 15842468 16252187 18573928 22944264 23763702 27724319 27860892 31684936 32504374 47527404 48756561 55448638 55721784 65008748 67330489 83172957 95054808 97513122 110897276 130017496 134660978 166345914 195026244 201991467 221794552 269321956 332691828 390052488 403982934 471313423 538643912 665383656 807965868 942626846 1413940269 1615931736 1885253692 2827880538 3770507384 5655761076 11311522152