Search a number
-
+
131331420442215 = 34572111109197971
BaseRepresentation
bin11101110111000111111010…
…101010011100111001100111
3122020000011100111110120210000
4131313013322222130321213
5114203213222113122330
61143152453250432343
736443245012555020
oct3567077252347147
9566004314416700
10131331420442215
1138934385044734
1212890aaab926b3
1358386660cc966
1424606906a5c47
15102b371b79560
hex7771faa9ce67

131331420442215 has 160 divisors (see below), whose sum is σ = 270575966200320. Its totient is φ = 59698502841600.

The previous prime is 131331420442129. The next prime is 131331420442223. The reversal of 131331420442215 is 512244024133131.

131331420442215 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 1 + 420 + 4 + 4 + 221 + 5 = 666.

It is not a de Polignac number, because 131331420442215 - 29 = 131331420441703 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131331420442215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 663288180 + ... + 663486150.

It is an arithmetic number, because the mean of its divisors is an integer number (1691099788752).

Almost surely, 2131331420442215 is an apocalyptic number.

131331420442215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131331420442215 is an abundant number, since it is smaller than the sum of its proper divisors (139244545758105).

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

131331420442215 is a wasteful number, since it uses less digits than its factorization.

131331420442215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199315 (or 199306 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 131331420442215 its reverse (512244024133131), we get a palindrome (643575444575346).

The spelling of 131331420442215 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, four hundred twenty million, four hundred forty-two thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 211 315 405 567 633 945 1055 1109 1477 1899 2835 3165 3327 4431 5545 5697 7385 7763 9495 9981 13293 16635 17091 22155 23289 28485 29943 38815 39879 49905 66465 69867 85455 89829 116445 119637 149715 197971 199395 209601 233999 349335 449145 593913 598185 628803 701997 989855 1048005 1169995 1385797 1637993 1781739 2105991 2969565 3144015 3509985 4157391 4913979 5345217 6317973 6928985 8189965 8908695 10529955 12472173 14741937 16035651 18953919 20786955 24569895 26726085 31589865 37416519 41771881 44225811 62360865 73709685 80178255 94769595 112249557 125315643 132677433 187082595 208859405 219549839 221129055 292403167 375946929 561247785 626578215 658649517 663387165 877209501 1097749195 1127840787 1462015835 1536848873 1879734645 1975948551 2631628503 3293247585 3383522361 4386047505 4610546619 5639203935 5927845653 7684244365 7894885509 9879742755 13158142515 13831639857 16917611805 17783536959 23052733095 23684656527 29639228265 39474427545 41494919571 46325016029 69158199285 88917684795 118423282635 124484758713 138975048087 207474597855 231625080145 324275112203 416925144261 622423793565 694875240435 972825336609 1250775432783 1621375561015 2084625721305 2918476009827 3752326298349 4864126683045 6253877163915 8755428029481 14592380049135 18761631491745 26266284088443 43777140147405 131331420442215