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130201343214201 = 3274789787627787
BaseRepresentation
bin11101100110101011011100…
…110011111100001001111001
3122002000010102110210022202100
4131212223130303330021321
5114031204322330323301
61140525401001454013
736265510442612040
oct3546533463741171
9562003373708670
10130201343214201
11385390969a2106
1212729a864a1309
135785c1ac5cb5c
142421ac880d557
15100bc808e7286
hex766adccfc279

130201343214201 has 96 divisors (see below), whose sum is σ = 222257443000320. Its totient is φ = 71907994591488.

The previous prime is 130201343214121. The next prime is 130201343214269. The reversal of 130201343214201 is 102412343102031.

130201343214201 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 0 + 13 + 432 + 14 + 201 = 666.

It is not a de Polignac number, because 130201343214201 - 27 = 130201343214073 is a prime.

It is a super-3 number, since 3×1302013432142013 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (130201343214101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207083430 + ... + 207711216.

It is an arithmetic number, because the mean of its divisors is an integer number (2315181697920).

Almost surely, 2130201343214201 is an apocalyptic number.

It is an amenable number.

130201343214201 is a deficient number, since it is larger than the sum of its proper divisors (92056099786119).

130201343214201 is a wasteful number, since it uses less digits than its factorization.

130201343214201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628723 (or 628720 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 130201343214201 its reverse (102412343102031), we get a palindrome (232613686316232).

The spelling of 130201343214201 in words is "one hundred thirty trillion, two hundred one billion, three hundred forty-three million, two hundred fourteen thousand, two hundred one".

Divisors: 1 3 7 9 21 47 63 89 141 267 329 423 623 787 801 987 1869 2361 2961 4183 5509 5607 7083 12549 16527 29281 36989 37647 49581 70043 87843 110967 210129 258923 263529 332901 490301 627787 630387 776769 1470903 1883361 2330307 3292021 4394509 4412709 5650083 9876063 13183527 23044147 29505989 29628189 39550581 55873043 69132441 88517967 167619129 206541923 207397323 265553901 391111301 494068369 502857387 619625769 1173333903 1482205107 1858877307 2626033021 3458478583 3520001709 4446615321 7878099063 10375435749 18382231147 23221213343 23634297189 31126307247 43972084841 55146693441 69663640029 131916254523 162548493401 165440080323 208990920087 307804593887 395748763569 487645480203 923413781661 1462936440609 2066687987527 2770241344983 6200063962581 14466815912689 18600191887743 43400447738067 130201343214201