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10232971020 = 22325151383983
BaseRepresentation
bin10011000011110111…
…01011111100001100
3222102011010210021200
421201323223330030
5131424120033040
64411224025500
7511403550516
oct114173537414
928364123250
1010232971020
114381277648
121b97002290
13c71049b4c
146d1088bb6
153ed57b630
hex261eebf0c

10232971020 has 144 divisors (see below), whose sum is σ = 31359025152. Its totient is φ = 2700892800.

The previous prime is 10232971013. The next prime is 10232971039. The reversal of 10232971020 is 2017923201.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10409449 + ... + 10410431.

It is an arithmetic number, because the mean of its divisors is an integer number (217771008).

Almost surely, 210232971020 is an apocalyptic number.

10232971020 is a gapful number since it is divisible by the number (10) 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 10232971020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15679512576).

10232971020 is an abundant number, since it is smaller than the sum of its proper divisors (21126054132).

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

10232971020 is a wasteful number, since it uses less digits than its factorization.

10232971020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10232971020 in words is "ten billion, two hundred thirty-two million, nine hundred seventy-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 383 453 604 755 766 906 983 1149 1359 1510 1532 1812 1915 1966 2265 2298 2718 2949 3020 3447 3830 3932 4530 4596 4915 5436 5745 5898 6795 6894 7660 8847 9060 9830 11490 11796 13590 13788 14745 17235 17694 19660 22980 27180 29490 34470 35388 44235 57833 58980 68940 88470 115666 148433 173499 176940 231332 289165 296866 346998 376489 445299 520497 578330 593732 693996 742165 752978 867495 890598 1040994 1129467 1156660 1335897 1484330 1505956 1734990 1781196 1882445 2081988 2226495 2258934 2602485 2671794 2968660 3388401 3469980 3764890 4452990 4517868 5204970 5343588 5647335 6679485 6776802 7529780 8905980 10409940 11294670 13358970 13553604 16942005 22589340 26717940 33884010 56849839 67768020 113699678 170549517 227399356 284249195 341099034 511648551 568498390 682198068 852747585 1023297102 1136996780 1705495170 2046594204 2558242755 3410990340 5116485510 10232971020