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31003131133002 = 237323654986503
BaseRepresentation
bin1110000110010011110101…
…00111100011110001001010
311001202212111111220012222010
413003021322213203301022
513030423403032224002
6145534350344440350
76346621330341000
oct703117247436112
9131685444805863
1031003131133002
119973399302576
123588745a790b6
13143b7763136c2
147927b95b2a70
1538b6e138846c
hex1c327a9e3c4a

31003131133002 has 64 divisors (see below), whose sum is σ = 75454445260800. Its totient is φ = 8472905389872.

The previous prime is 31003131133001. The next prime is 31003131133033. The reversal of 31003131133002 is 20033113130013.

It is a super-2 number, since 2×310031311330022 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 31003131133002.

It is not an unprimeable number, because it can be changed into a prime (31003131133001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 327445918 + ... + 327540585.

It is an arithmetic number, because the mean of its divisors is an integer number (1178975707200).

Almost surely, 231003131133002 is an apocalyptic number.

31003131133002 is an abundant number, since it is smaller than the sum of its proper divisors (44451314127798).

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

31003131133002 is a wasteful number, since it uses less digits than its factorization.

31003131133002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654986552 (or 654986538 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 31003131133002 its reverse (20033113130013), we get a palindrome (51036244263015).

The spelling of 31003131133002 in words is "thirty-one trillion, three billion, one hundred thirty-one million, one hundred thirty-three thousand, two".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 343 483 686 966 1029 1127 2058 2254 3381 6762 7889 15778 23667 47334 654986503 1309973006 1964959509 3929919018 4584905521 9169811042 13754716563 15064689569 27509433126 30129379138 32094338647 45194068707 64188677294 90388137414 96283015941 105452826983 192566031882 210905653966 224660370529 316358480949 449320741058 632716961898 673981111587 738169788881 1347962223174 1476339577762 2214509366643 4429018733286 5167188522167 10334377044334 15501565566501 31003131133002