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31003203132 = 223211432118629
BaseRepresentation
bin11100110111111011…
…110101011000111100
32222000122222220100200
4130313323311120330
51001443310000012
622124230123500
72145200610216
oct346773653074
988018886320
1031003203132
111216a555430
126012ab0590
132c01184215
14170178b5b6
15c16c3e3dc
hex737ef563c

31003203132 has 144 divisors (see below), whose sum is σ = 87906698880. Its totient is φ = 9131875200.

The previous prime is 31003203103. The next prime is 31003203151. The reversal of 31003203132 is 23130230013.

31003203132 is a `hidden beast` number, since 31 + 0 + 0 + 320 + 313 + 2 = 666.

It is a super-2 number, since 2×310032031322 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3588594 + ... + 3597222.

Almost surely, 231003203132 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 31003203132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43953349440).

31003203132 is an abundant number, since it is smaller than the sum of its proper divisors (56903495748).

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

31003203132 is a wasteful number, since it uses less digits than its factorization.

31003203132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8904 (or 8899 counting only the distinct ones).

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

Adding to 31003203132 its reverse (23130230013), we get a palindrome (54133433145).

The spelling of 31003203132 in words is "thirty-one billion, three million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 211 258 387 396 422 473 516 633 774 844 946 1266 1419 1548 1892 1899 2321 2532 2838 3798 4257 4642 5676 6963 7596 8514 8629 9073 9284 13926 17028 17258 18146 20889 25887 27219 27852 34516 36292 41778 51774 54438 77661 81657 83556 94919 99803 103548 108876 155322 163314 189838 199606 284757 299409 310644 326628 371047 379676 399212 569514 598818 742094 854271 898227 1113141 1139028 1197636 1484188 1708542 1796454 1820719 2226282 3339423 3417084 3592908 3641438 4081517 4452564 5462157 6678846 7282876 8163034 10924314 12244551 13357692 16326068 16386471 20027909 21848628 24489102 32772942 36733653 40055818 48978204 60083727 65545884 73467306 78290917 80111636 120167454 146934612 156581834 180251181 234872751 240334908 313163668 360502362 469745502 704618253 721004724 861200087 939491004 1409236506 1722400174 2583600261 2818473012 3444800348 5167200522 7750800783 10334401044 15501601566 31003203132