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131403033033402 = 231367277136766403
BaseRepresentation
bin11101111000001010100111…
…000110110011101010111010
3122020021000012022012010220010
4131320022213012303222322
5114210401402424032102
61143245415305042350
736451361440545504
oct3570124706635272
9566230168163803
10131403033033402
1138961793528399
12128a2955a863b6
13584233966b180
142463d2552cd74
15102d163b24d6c
hex7782a71b3aba

131403033033402 has 128 divisors (see below), whose sum is σ = 288498346665984. Its totient is φ = 39654832428288.

The previous prime is 131403033033383. The next prime is 131403033033449. The reversal of 131403033033402 is 204330330304131.

It is a self number, because there is not a number n which added to its sum of digits gives 131403033033402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978838733 + ... + 1978905135.

It is an arithmetic number, because the mean of its divisors is an integer number (2253893333328).

Almost surely, 2131403033033402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131403033033402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144249173332992).

131403033033402 is an abundant number, since it is smaller than the sum of its proper divisors (157095313632582).

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

131403033033402 is a wasteful number, since it uses less digits than its factorization.

131403033033402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68132.

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 131403033033402 its reverse (204330330304131), we get a palindrome (335733363337533).

The spelling of 131403033033402 in words is "one hundred thirty-one trillion, four hundred three billion, thirty-three million, thirty-three thousand, four hundred two".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 277 402 554 831 871 1367 1662 1742 2613 2734 3601 4101 5226 7202 8202 10803 17771 18559 21606 35542 37118 53313 55677 66403 91589 106626 111354 132806 183178 199209 241267 274767 378659 398418 482534 549534 723801 757318 863239 1135977 1190657 1447602 1726478 2271954 2381314 2589717 3571971 4449001 4922567 5179434 7143942 8898002 9845134 13347003 14767701 18393631 25370153 26694006 29535402 36787262 50740306 55180893 57837013 76110459 90772901 110361786 115674026 152220918 173511039 181545802 239117203 272318703 329811989 347022078 478234406 544637406 659623978 717351609 989435967 1180047713 1232373277 1434703218 1978871934 2360095426 2464746554 3540143139 3697119831 6081784367 7080286278 7394239662 12163568734 16020852601 18245353101 25144093577 32041705202 36490706202 48062557803 50288187154 75432280731 79063196771 96125115606 150864561462 158126393542 237189590313 326873216501 474379180626 653746433002 980619649503 1684654269659 1961239299006 3369308539318 5053962808977 10107925617954 21900505505567 43801011011134 65701516516701 131403033033402