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131330414210130 = 23358319330364501
BaseRepresentation
bin11101110111000110111110…
…101011111110110001010010
3122020000001202101001200212000
4131313012332223332301102
5114203204142014211010
61143152205343414430
736443211043666542
oct3567067653766122
9566001671050760
10131330414210130
1138933a09054673
1212890869bb4416
1358385357bcc65
1424605d6bb5322
15102b3136667c0
hex7771beafec52

131330414210130 has 128 divisors (see below), whose sum is σ = 356270345706240. Its totient is φ = 34420225536000.

The previous prime is 131330414210077. The next prime is 131330414210137. The reversal of 131330414210130 is 31012414033131.

131330414210130 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 0 + 414 + 210 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131330414210094 and 131330414210103.

It is not an unprimeable number, because it can be changed into a prime (131330414210137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10857121 + ... + 19507380.

It is an arithmetic number, because the mean of its divisors is an integer number (2783362075830).

Almost surely, 2131330414210130 is an apocalyptic number.

131330414210130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131330414210130 is an abundant number, since it is smaller than the sum of its proper divisors (224939931496110).

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

131330414210130 is a wasteful number, since it uses less digits than its factorization.

131330414210130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30364793 (or 30364787 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131330414210130 its reverse (31012414033131), we get a palindrome (162342828243261).

The spelling of 131330414210130 in words is "one hundred thirty-one trillion, three hundred thirty billion, four hundred fourteen million, two hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 193 249 270 386 415 498 579 747 830 965 1158 1245 1494 1737 1930 2241 2490 2895 3474 3735 4482 5211 5790 7470 8685 10422 11205 16019 17370 22410 26055 32038 48057 52110 80095 96114 144171 160190 240285 288342 432513 480570 720855 865026 1441710 2162565 4325130 30364501 60729002 91093503 151822505 182187006 273280509 303645010 455467515 546561018 819841527 910935030 1366402545 1639683054 2520253583 2732805090 4099207635 5040507166 5860348693 7560760749 8198415270 11720697386 12601267915 15121521498 17581046079 22682282247 25202535830 29301743465 35162092158 37803803745 45364564494 52743138237 58603486930 68046846741 75607607490 87905230395 105486276474 113411411235 136093693482 158229414711 175810460790 226822822470 263715691185 316458829422 340234233705 486408941519 527431382370 680468467410 791147073555 972817883038 1459226824557 1582294147110 2432044707595 2918453649114 4377680473671 4864089415190 7296134122785 8755360947342 13133041421013 14592268245570 21888402368355 26266082842026 43776804736710 65665207105065 131330414210130