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101301231031 = 711131789211317
BaseRepresentation
bin101111001011000000…
…1100001110110110111
3100200110212010201122121
41132112001201312313
53124431103343111
6114312004540411
710214224153660
oct1362601416667
9320425121577
10101301231031
1139a639a4250
12177716b1707
139725288b30
144c8dbc2367
15297d5be871
hex1796061db7

101301231031 has 128 divisors (see below), whose sum is σ = 146783508480. Its totient is φ = 67273113600.

The previous prime is 101301231011. The next prime is 101301231049. The reversal of 101301231031 is 130132103101.

It is not a de Polignac number, because 101301231031 - 233 = 92711296439 is a prime.

It is a super-2 number, since 2×1013012310312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101301230996 and 101301231014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101301231001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 319562085 + ... + 319562401.

It is an arithmetic number, because the mean of its divisors is an integer number (1146746160).

Almost surely, 2101301231031 is an apocalyptic number.

101301231031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101301231031 is a deficient number, since it is larger than the sum of its proper divisors (45482277449).

101301231031 is a wasteful number, since it uses less digits than its factorization.

101301231031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101301231031 its reverse (130132103101), we get a palindrome (231433334132).

The spelling of 101301231031 in words is "one hundred one billion, three hundred one million, two hundred thirty-one thousand, thirty-one".

Divisors: 1 7 11 13 17 77 89 91 119 143 187 211 221 317 623 979 1001 1157 1309 1477 1513 1547 2219 2321 2431 2743 3487 3587 4121 5389 6853 8099 10591 12727 16247 16643 17017 18779 19201 19669 24409 25109 28213 28847 30173 37723 39457 45331 46631 59279 66887 70057 89089 116501 131453 137683 197491 206569 211211 216359 244127 276199 310343 317317 319243 326417 366769 414953 468209 479621 490399 512941 735757 770627 869531 1137079 1445983 1514513 1708889 2172401 2234701 2567383 2685397 3357347 3511673 3590587 4034459 4150159 5150299 5275831 5394389 5952943 6086717 6235073 7959553 9564841 12507869 14782027 18797779 24581711 28241213 29051113 36930817 41670601 43645511 45651749 65482373 66953887 68585803 77388259 87555083 101200031 103474189 162602297 319562243 458376611 480100621 541717813 708400217 851270849 1113200341 1138216079 1315600403 5958895943 7792402387 9209202821 14471604433 101301231031