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101310020214 = 231319119734519
BaseRepresentation
bin101111001011010001…
…1000011101001110110
3100200111110200021010220
41132112203003221312
53124440331121324
6114312521155210
710214361651264
oct1362643035166
9320443607126
10101310020214
1139a68957737
121777462bb06
139727045530
144c9102d434
15297e258b79
hex17968c3a76

101310020214 has 64 divisors (see below), whose sum is σ = 220468469760. Its totient is φ = 30850807680.

The previous prime is 101310020209. The next prime is 101310020219. The reversal of 101310020214 is 412020013101.

It is an interprime number because it is at equal distance from previous prime (101310020209) and next prime (101310020219).

It is a super-2 number, since 2×1013100202142 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101310020193 and 101310020202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310020219) 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, 2917647 + ... + 2952165.

It is an arithmetic number, because the mean of its divisors is an integer number (3444819840).

Almost surely, 2101310020214 is an apocalyptic number.

101310020214 is an abundant number, since it is smaller than the sum of its proper divisors (119158449546).

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

101310020214 is a wasteful number, since it uses less digits than its factorization.

101310020214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34925.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101310020214 its reverse (412020013101), we get a palindrome (513330033315).

The spelling of 101310020214 in words is "one hundred one billion, three hundred ten million, twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 191 197 382 394 573 591 1146 1182 2483 2561 4966 5122 7449 7683 14898 15366 34519 37627 69038 75254 103557 112881 207114 225762 448747 489151 897494 978302 1346241 1467453 2692482 2934906 6593129 6800243 13186258 13600486 19779387 20400729 39558774 40801458 85710677 88403159 171421354 176806318 257132031 265209477 514264062 530418954 1298846413 2597692826 3896539239 7793078478 16885003369 33770006738 50655010107 101310020214