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1300131122031 = 32710915110511193
BaseRepresentation
bin10010111010110101110…
…110101000101101101111
311121021212101002010211200
4102322311312220231233
5132300132031401111
62433134430020543
7162634314124350
oct22726566505557
94537771063750
101300131122031
11461423140105
1218bb83347753
13957a9316841
1446cd8b5bd27
1523c456c6256
hex12eb5da8b6f

1300131122031 has 96 divisors (see below), whose sum is σ = 2184186301440. Its totient is φ = 729933120000.

The previous prime is 1300131122009. The next prime is 1300131122039. The reversal of 1300131122031 is 1302211310031.

1300131122031 is a `hidden beast` number, since 1 + 300 + 1 + 311 + 2 + 20 + 31 = 666.

It is not a de Polignac number, because 1300131122031 - 25 = 1300131121999 is a prime.

It is a super-2 number, since 2×13001311220312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1300131121995 and 1300131122013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300131122039) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1089799171 + ... + 1089800363.

It is an arithmetic number, because the mean of its divisors is an integer number (22751940640).

Almost surely, 21300131122031 is an apocalyptic number.

1300131122031 is a deficient number, since it is larger than the sum of its proper divisors (884055179409).

1300131122031 is a wasteful number, since it uses less digits than its factorization.

1300131122031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1300131122031 its reverse (1302211310031), we get a palindrome (2602342432062).

The spelling of 1300131122031 in words is "one trillion, three hundred billion, one hundred thirty-one million, one hundred twenty-two thousand, thirty-one".

Divisors: 1 3 7 9 21 63 109 151 327 453 763 981 1051 1057 1193 1359 2289 3153 3171 3579 6867 7357 8351 9459 9513 10737 16459 22071 25053 49377 66213 75159 114559 115213 130037 148131 158701 180143 343677 345639 390111 476103 540429 801913 910259 1031031 1036917 1110907 1170333 1253843 1261001 1428309 1621287 2405739 2730777 3332721 3761529 3783003 7217217 8192331 8776901 9998163 11284587 11349009 17298409 19635587 26330703 51895227 58906761 78992109 121088863 136668887 137449109 155685681 176720283 189330293 363266589 410006661 412347327 567990879 956682209 1089799767 1230019983 1237041981 1325312051 1703972637 2870046627 3975936153 8610139881 11927808459 20637001937 61911005811 144459013559 185733017433 433377040677 1300131122031