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131002103422104 = 233231036073795887
BaseRepresentation
bin11101110010010101001101…
…110101101101110010011000
3122011211200022211101121221020
4131302111031311231302120
5114132314301434001404
61142341311400042440
736410406150226455
oct3562251565556230
9564750284347836
10131002103422104
11388177531892a2
1212839103463420
1358135a3569395
14244c76db0282c
1510229ea800ed9
hex77254dd6dc98

131002103422104 has 128 divisors (see below), whose sum is σ = 345631089623040. Its totient is φ = 41295109756032.

The previous prime is 131002103422049. The next prime is 131002103422111. The reversal of 131002103422104 is 401224301200131.

It is a super-2 number, since 2×1310021034221042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32613649 + ... + 36409535.

It is an arithmetic number, because the mean of its divisors is an integer number (2700242887680).

Almost surely, 2131002103422104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131002103422104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172815544811520).

131002103422104 is an abundant number, since it is smaller than the sum of its proper divisors (214628986200936).

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

131002103422104 is a wasteful number, since it uses less digits than its factorization.

131002103422104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796629 (or 3796625 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131002103422104 its reverse (401224301200131), we get a palindrome (532226404622235).

The spelling of 131002103422104 in words is "one hundred thirty-one trillion, two billion, one hundred three million, four hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 103 138 184 206 276 309 412 552 607 618 824 1214 1236 1821 2369 2428 2472 3642 4738 4856 7107 7284 9476 13961 14214 14568 18952 27922 28428 41883 55844 56856 62521 83766 111688 125042 167532 187563 250084 335064 375126 500168 750252 1437983 1500504 2875966 3795887 4313949 5751932 7591774 8627898 11387661 11503864 15183548 17255796 22775322 30367096 34511592 45550644 87305401 91101288 174610802 261916203 349221604 390976361 523832406 698443208 781952722 1047664812 1172929083 1563905444 2095329624 2304103409 2345858166 3127810888 4608206818 4691716332 6912310227 8992456303 9216413636 9383432664 13824620454 17984912606 18432827272 26977368909 27649240908 35969825212 52994378407 53954737818 55298481816 71939650424 105988756814 107909475636 158983135221 211977513628 215818951272 237322651127 317966270442 423955027256 474645302254 635932540884 711967953381 949290604508 1271865081768 1423935906762 1898581209016 2847871813524 5458420975921 5695743627048 10916841951842 16375262927763 21833683903684 32750525855526 43667367807368 65501051711052 131002103422104