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10270671012 = 22327101457883
BaseRepresentation
bin10011001000010111…
…00000000010100100
3222111210002010221200
421210023200002210
5132013242433022
64415052042500
7512342156160
oct114413400244
928453063850
1010270671012
1143a0587168
121ba7763430
13c78ab9834
146d609dca0
15401a26bac
hex2642e00a4

10270671012 has 144 divisors (see below), whose sum is σ = 30064175232. Its totient is φ = 2895782400.

The previous prime is 10270670939. The next prime is 10270671017. The reversal of 10270671012 is 21017607201.

It is not an unprimeable number, because it can be changed into a prime (10270671017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11631123 + ... + 11632005.

Almost surely, 210270671012 is an apocalyptic number.

10270671012 is a gapful number since it is divisible by the number (12) 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 10270671012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032087616).

10270671012 is an abundant number, since it is smaller than the sum of its proper divisors (19793504220).

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

10270671012 is a wasteful number, since it uses less digits than its factorization.

10270671012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 10270671012 in words is "ten billion, two hundred seventy million, six hundred seventy-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 457 606 707 883 909 914 1212 1371 1414 1766 1818 1828 2121 2649 2742 2828 3199 3532 3636 4113 4242 5298 5484 6181 6363 6398 7947 8226 8484 9597 10596 12362 12726 12796 15894 16452 18543 19194 24724 25452 28791 31788 37086 38388 46157 55629 57582 74172 89183 92314 111258 115164 138471 178366 184628 222516 267549 276942 323099 356732 403531 415413 535098 553884 624281 646198 802647 807062 830826 969297 1070196 1210593 1248562 1292396 1605294 1614124 1661652 1872843 1938594 2421186 2497124 2824717 2907891 3210588 3631779 3745686 3877188 4842372 5618529 5649434 5815782 7263558 7491372 8474151 11237058 11298868 11631564 14527116 16948302 22474116 25422453 33896604 40756631 50844906 81513262 101689812 122269893 163026524 244539786 285296417 366809679 489079572 570592834 733619358 855889251 1141185668 1467238716 1711778502 2567667753 3423557004 5135335506 10270671012