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1030010372976 = 2431310757127017
BaseRepresentation
bin11101111110100010110…
…01110000001101110000
310122110122012020022220110
432333101121300031300
5113333430123413401
62105102532541320
7134262421466544
oct16772131601560
93573565208813
101030010372976
11367909004332
12147758481840
137618b8531a0
1437bd1dd1a24
151bbd623d9d6
hexefd1670370

1030010372976 has 160 divisors (see below), whose sum is σ = 2897495048448. Its totient is φ = 313402890240.

The previous prime is 1030010372971. The next prime is 1030010372981. The reversal of 1030010372976 is 6792730100301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1030010372971) and next prime (1030010372981).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030010372971) 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, 38111020 + ... + 38138036.

Almost surely, 21030010372976 is an apocalyptic number.

1030010372976 is a gapful number since it is divisible by the number (16) 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 1030010372976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448747524224).

1030010372976 is an abundant number, since it is smaller than the sum of its proper divisors (1867484675472).

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

1030010372976 is a wasteful number, since it uses less digits than its factorization.

1030010372976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27719 (or 27713 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The spelling of 1030010372976 in words is "one trillion, thirty billion, ten million, three hundred seventy-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 208 214 312 321 428 571 624 642 856 1142 1284 1391 1712 1713 2284 2568 2782 3426 4173 4568 5136 5564 6852 7423 8346 9136 11128 13704 14846 16692 22256 22269 27017 27408 29692 33384 44538 54034 59384 61097 66768 81051 89076 108068 118768 122194 162102 178152 183291 216136 244388 324204 351221 356304 366582 432272 488776 648408 702442 733164 794261 977552 1053663 1296816 1404884 1466328 1588522 2107326 2382783 2809768 2890819 2932656 3177044 4214652 4765566 5619536 5781638 6354088 8429304 8672457 9531132 11563276 12708176 15426707 16858608 17344914 19062264 23126552 30853414 34689828 37580647 38124528 46253104 46280121 61706828 69379656 75161294 92560242 112741941 123413656 138759312 150322588 185120484 200547191 225483882 246827312 300645176 370240968 401094382 450967764 601290352 601641573 740481936 802188764 901935528 1203283146 1604377528 1650657649 1803871056 2406566292 3208755056 3301315298 4813132584 4951972947 6602630596 9626265168 9903945894 13205261192 19807891788 21458549437 26410522384 39615783576 42917098874 64375648311 79231567152 85834197748 128751296622 171668395496 257502593244 343336790992 515005186488 1030010372976