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10332211340 = 225112331199331
BaseRepresentation
bin10011001111101100…
…10000100010001100
3222200001212201102002
421213312100202030
5132130021230330
64425131051432
7514020230063
oct114766204214
928601781362
1010332211340
11442229a340
1220042a0b78
13c88785929
1470031d1da
15407130e45
hex267d9088c

10332211340 has 192 divisors, whose sum is σ = 25701580800. Its totient is φ = 3449952000.

The previous prime is 10332211289. The next prime is 10332211367. The reversal of 10332211340 is 4311223301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31214975 + ... + 31215305.

It is an arithmetic number, because the mean of its divisors is an integer number (133862400).

Almost surely, 210332211340 is an apocalyptic number.

10332211340 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 10332211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12850790400).

10332211340 is an abundant number, since it is smaller than the sum of its proper divisors (15369369460).

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

10332211340 is a wasteful number, since it uses less digits than its factorization.

10332211340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10332211340 its reverse (4311223301), we get a palindrome (14643434641).

The spelling of 10332211340 in words is "ten billion, three hundred thirty-two million, two hundred eleven thousand, three hundred forty".