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131303322222100 = 22527792374381957
BaseRepresentation
bin11101110110101101101111…
…111000001111111000010100
3122012220110211021201002221221
4131312231233320033320110
5114202233200442101400
61143131525152220124
736441231504620650
oct3566555770177024
9565813737632857
10131303322222100
1138923476362016
1212887568b3a644
135835b08a42602
14245d186a69a60
15102a779eb0c1a
hex776b6fe0fe14

131303322222100 has 72 divisors (see below), whose sum is σ = 329754166327040. Its totient is φ = 44448430216320.

The previous prime is 131303322222029. The next prime is 131303322222109. The reversal of 131303322222100 is 1222223303131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303322222109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1187135679 + ... + 1187246278.

Almost surely, 2131303322222100 is an apocalyptic number.

131303322222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131303322222100 is an abundant number, since it is smaller than the sum of its proper divisors (198450844104940).

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

131303322222100 is a wasteful number, since it uses less digits than its factorization.

131303322222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374382057 (or 2374382050 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 131303322222100 its reverse (1222223303131), we get a palindrome (132525545525231).

The spelling of 131303322222100 in words is "one hundred thirty-one trillion, three hundred three billion, three hundred twenty-two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 140 158 175 316 350 395 553 700 790 1106 1580 1975 2212 2765 3950 5530 7900 11060 13825 27650 55300 2374381957 4748763914 9497527828 11871909785 16620673699 23743819570 33241347398 47487639140 59359548925 66482694796 83103368495 118719097850 166206736990 187576174603 237438195700 332413473980 375152349206 415516842475 750304698412 831033684950 937880873015 1313033222221 1662067369900 1875761746030 2626066444442 3751523492060 4689404365075 5252132888884 6565166111105 9378808730150 13130332222210 18757617460300 26260664444420 32825830555525 65651661111050 131303322222100