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10203431332010 = 2572124916672001
BaseRepresentation
bin1001010001111010101111…
…1001100110100010101010
31100010102211200011122221112
42110132223321212202222
52314133111410111020
633411220332310322
72102113353212600
oct224365371464252
940112750148845
1010203431332010
113284283a907a4
1211895b06123a2
13590244320867
14273bc4c15870
1512a63475d2c5
hex947abe668aa

10203431332010 has 48 divisors (see below), whose sum is σ = 21381842565000. Its totient is φ = 3495518208000.

The previous prime is 10203431332009. The next prime is 10203431332013. The reversal of 10203431332010 is 1023313430201.

It can be written as a sum of positive squares in 4 ways, for example, as 6182776737361 + 4020654594649 = 2486519^2 + 2005157^2 .

It is a super-2 number, since 2×102034313320102 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10203431332013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7723991 + ... + 8948010.

Almost surely, 210203431332010 is an apocalyptic number.

10203431332010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10203431332010 is an abundant number, since it is smaller than the sum of its proper divisors (11178411232990).

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

10203431332010 is a wasteful number, since it uses less digits than its factorization.

10203431332010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16673271 (or 16673264 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10203431332010 its reverse (1023313430201), we get a palindrome (11226744762211).

The spelling of 10203431332010 in words is "ten trillion, two hundred three billion, four hundred thirty-one million, three hundred thirty-two thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 1249 2498 6245 8743 12490 17486 43715 61201 87430 122402 306005 612010 16672001 33344002 83360005 116704007 166720010 233408014 583520035 816928049 1167040070 1633856098 4084640245 8169280490 20823329249 41646658498 104116646245 145763304743 208233292490 291526609486 728816523715 1020343133201 1457633047430 2040686266402 5101715666005 10203431332010