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30131032032 = 2532672815557
BaseRepresentation
bin11100000011111100…
…110000111111100000
32212202212212000112100
4130003330300333200
5443202021011112
621501512330400
72114450355303
oct340374607740
985685760470
1030131032032
1111862200372
125a0a9a3a00
132ac258254a
14165b9d6b3a
15bb53ad2dc
hex703f30fe0

30131032032 has 144 divisors (see below), whose sum is σ = 87289190352. Its totient is φ = 9856788480.

The previous prime is 30131032031. The next prime is 30131032037. The reversal of 30131032032 is 23023013103.

30131032032 is a `hidden beast` number, since 3 + 0 + 1 + 310 + 320 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 30131031996 and 30131032014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30131032031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5419398 + ... + 5424954.

It is an arithmetic number, because the mean of its divisors is an integer number (606174933).

Almost surely, 230131032032 is an apocalyptic number.

30131032032 is a gapful number since it is divisible by the number (32) 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 30131032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43644595176).

30131032032 is an abundant number, since it is smaller than the sum of its proper divisors (57158158320).

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

30131032032 is a wasteful number, since it uses less digits than its factorization.

30131032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5921 (or 5910 counting only the distinct ones).

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

Adding to 30131032032 its reverse (23023013103), we get a palindrome (53154045135).

The spelling of 30131032032 in words is "thirty billion, one hundred thirty-one million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 281 288 402 536 562 603 804 843 1072 1124 1206 1608 1686 2144 2248 2412 2529 3216 3372 4496 4824 5058 5557 6432 6744 8992 9648 10116 11114 13488 16671 18827 19296 20232 22228 26976 33342 37654 40464 44456 50013 56481 66684 75308 80928 88912 100026 112962 133368 150616 169443 177824 200052 225924 266736 301232 338886 372319 400104 451848 533472 602464 677772 744638 800208 903696 1116957 1355544 1489276 1561517 1600416 1807392 2233914 2711088 2978552 3123034 3350871 4467828 4684551 5422176 5957104 6246068 6701742 8935656 9369102 11914208 12492136 13403484 14053653 17871312 18738204 24984272 26806968 28107306 35742624 37476408 49968544 53613936 56214612 74952816 104621639 107227872 112429224 149905632 209243278 224858448 313864917 418486556 449716896 627729834 836973112 941594751 1255459668 1673946224 1883189502 2510919336 3347892448 3766379004 5021838672 7532758008 10043677344 15065516016 30131032032