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101031235319 = 7539716716811
BaseRepresentation
bin101111000010111101…
…1100100111011110111
3100122210001002112011102
41132011323210323313
53123402444012234
6114225122000315
710204435221320
oct1360573447367
9318701075142
10101031235319
11399355534a3
12176b71a609b
1396b1364c61
144c65dbd447
152964a3ac7e
hex1785ee4ef7

101031235319 has 32 divisors (see below), whose sum is σ = 119574475776. Its totient is φ = 83579857920.

The previous prime is 101031235309. The next prime is 101031235337. The reversal of 101031235319 is 913532130101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101031235319 is a prime.

It is a super-2 number, since 2×1010312353192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101031235291 and 101031235300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031235309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6001424 + ... + 6018234.

It is an arithmetic number, because the mean of its divisors is an integer number (3736702368).

Almost surely, 2101031235319 is an apocalyptic number.

101031235319 is a deficient number, since it is larger than the sum of its proper divisors (18543240457).

101031235319 is a wasteful number, since it uses less digits than its factorization.

101031235319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17135.

The product of its (nonzero) digits is 2430, while the sum is 29.

The spelling of 101031235319 in words is "one hundred one billion, thirty-one million, two hundred thirty-five thousand, three hundred nineteen".

Divisors: 1 7 53 97 167 371 679 1169 5141 8851 16199 16811 35987 61957 113393 117677 858547 890983 1630667 2807437 6009829 6236881 11414669 19652059 86425351 148794161 272321389 604977457 1041559127 1906249723 14433033617 101031235319