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10203432231330 = 23251389175355897
BaseRepresentation
bin1001010001111010101111…
…1101000010000110100010
31100010102211201212100120200
42110132223331002012202
52314133112122400310
633411220403450030
72102113363646532
oct224365375020642
940112751770520
1010203432231330
113284284545438
1211895b0986916
13590244576cc0
14273bc4dab4c2
1512a6348899c0
hex947abf421a2

10203432231330 has 192 divisors, whose sum is σ = 28907614925280. Its totient is φ = 2481932648448.

The previous prime is 10203432231319. The next prime is 10203432231341. The reversal of 10203432231330 is 3313223430201.

10203432231330 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 3 + 4 + 322 + 3 + 1 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (10203432231319) and next prime (10203432231341).

It can be written as a sum of positive squares in 16 ways, for example, as 998318707281 + 9205113524049 = 999159^2 + 3033993^2 .

It is a super-2 number, since 2×102034322313302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10203432231294 and 10203432231303.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182511942 + ... + 182567838.

Almost surely, 210203432231330 is an apocalyptic number.

10203432231330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203432231330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14453807462640).

10203432231330 is an abundant number, since it is smaller than the sum of its proper divisors (18704182693950).

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

10203432231330 is a wasteful number, since it uses less digits than its factorization.

10203432231330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57765 (or 57762 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10203432231330 its reverse (3313223430201), we get a palindrome (13516655661531).

The spelling of 10203432231330 in words is "ten trillion, two hundred three billion, four hundred thirty-two million, two hundred thirty-one thousand, three hundred thirty".