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31020103128 = 23372331258967
BaseRepresentation
bin11100111000111100…
…010011010111011000
32222001211210111210110
4130320330103113120
51002012121300003
622130032244320
72145464345310
oct347074232730
988054714713
1031020103128
1112179048673
1260186a06a0
132c04820611
141703b0a440
15c1847ba03
hex738f135d8

31020103128 has 128 divisors (see below), whose sum is σ = 95465963520. Its totient is φ = 8204042880.

The previous prime is 31020103123. The next prime is 31020103181. The reversal of 31020103128 is 82130102013.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020103123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9700 + ... + 249267.

It is an arithmetic number, because the mean of its divisors is an integer number (745827840).

Almost surely, 231020103128 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 31020103128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47732981760).

31020103128 is an abundant number, since it is smaller than the sum of its proper divisors (64445860392).

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

31020103128 is a wasteful number, since it uses less digits than its factorization.

31020103128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259037 (or 259033 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 31020103128 in words is "thirty-one billion, twenty million, one hundred three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 31 42 46 56 62 69 84 92 93 124 138 161 168 184 186 217 248 276 322 372 434 483 552 644 651 713 744 868 966 1288 1302 1426 1736 1932 2139 2604 2852 3864 4278 4991 5208 5704 8556 9982 14973 17112 19964 29946 39928 59892 119784 258967 517934 776901 1035868 1553802 1812769 2071736 3107604 3625538 5438307 5956241 6215208 7251076 8027977 10876614 11912482 14502152 16055954 17868723 21753228 23824964 24083931 32111908 35737446 41693687 43506456 47649928 48167862 56195839 64223816 71474892 83387374 96335724 112391678 125081061 142949784 166774748 168587517 184643471 192671448 224783356 250162122 333549496 337175034 369286942 449566712 500324244 553930413 674350068 738573884 1000648488 1107860826 1292504297 1348700136 1477147768 2215721652 2585008594 3877512891 4431443304 5170017188 7755025782 10340034376 15510051564 31020103128