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10332011140 = 225111910124473
BaseRepresentation
bin10011001111101010…
…11111101010000100
3222200001111112210021
421213311133222010
5132124443324030
64425122504524
7514015434313
oct114765375204
928601445707
1010332011140
114422172990
122004205144
13c88715779
147002aa27a
154070e197a
hex267d5fa84

10332011140 has 96 divisors (see below), whose sum is σ = 25163187840. Its totient is φ = 3523968000.

The previous prime is 10332011119. The next prime is 10332011143. The reversal of 10332011140 is 4111023301.

It is not an unprimeable number, because it can be changed into a prime (10332011143) 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, 409944 + ... + 434416.

It is an arithmetic number, because the mean of its divisors is an integer number (262116540).

Almost surely, 210332011140 is an apocalyptic number.

10332011140 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 10332011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12581593920).

10332011140 is an abundant number, since it is smaller than the sum of its proper divisors (14831176700).

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

10332011140 is a wasteful number, since it uses less digits than its factorization.

10332011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24613 (or 24611 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10332011140 its reverse (4111023301), we get a palindrome (14443034441).

The spelling of 10332011140 in words is "ten billion, three hundred thirty-two million, eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 101 110 190 202 209 220 380 404 418 505 836 1010 1045 1111 1919 2020 2090 2222 3838 4180 4444 5555 7676 9595 11110 19190 21109 22220 24473 38380 42218 48946 84436 97892 105545 122365 211090 244730 269203 422180 464987 489460 538406 929974 1076812 1346015 1859948 2324935 2471773 2692030 4649870 4943546 5114857 5384060 9299740 9887092 10229714 12358865 20459428 24717730 25574285 27189503 46963687 49435460 51148570 54379006 93927374 102297140 108758012 135947515 187854748 234818435 271895030 469636870 516600557 543790060 939273740 1033201114 2066402228 2583002785 5166005570 10332011140