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157300003751 = 1131072414583
BaseRepresentation
bin1001001001111111001…
…1111001001110100111
3120001000111201010102212
42102133303321032213
510034122300110001
6200132420554035
714236016654012
oct2223763711647
9501014633385
10157300003751
116078a82a000
122659b55291b
1311aaaa84ac7
1478830c2379
1541599087bb
hex249fcf93a7

157300003751 has 32 divisors (see below), whose sum is σ = 175398068736. Its totient is φ = 141044956800.

The previous prime is 157300003741. The next prime is 157300003759.

157300003751 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-157300003751 is a prime.

It is a super-2 number, since 2×1573000037512 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157300003759) 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 31 ways as a sum of consecutive naturals, for example, 34320206 + ... + 34324788.

It is an arithmetic number, because the mean of its divisors is an integer number (5481189648).

Almost surely, 2157300003751 is an apocalyptic number.

157300003751 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

157300003751 is a deficient number, since it is larger than the sum of its proper divisors (18098064985).

157300003751 is a wasteful number, since it uses less digits than its factorization.

157300003751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 32.

It can be divided in two parts, 15730000 and 3751, that added together give a palindrome (15733751).

The spelling of 157300003751 in words is "one hundred fifty-seven billion, three hundred million, three thousand, seven hundred fifty-one".

Divisors: 1 11 107 121 241 1177 1331 2651 4583 12947 25787 29161 50413 142417 283657 320771 490381 554543 1104503 3120227 5394191 6099973 12149533 34322497 59336101 118181821 133644863 652697111 1300000031 1470093493 14300000341 157300003751