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1302201313101 = 341331832392011
BaseRepresentation
bin10010111100110001001…
…111110010011101001101
311121111012122111202010000
4102330301033302131031
5132313402014004401
62434120101234513
7163036522350003
oct22746117623515
94544178452100
101302201313101
11462295769317
12190460702a39
1395a49198680
1447053a88a73
1523d17301186
hex12f313f274d

1302201313101 has 160 divisors (see below), whose sum is σ = 2198780559360. Its totient is φ = 762575990400.

The previous prime is 1302201313057. The next prime is 1302201313103. The reversal of 1302201313101 is 1013131022031.

1302201313101 is a `hidden beast` number, since 1 + 3 + 0 + 220 + 131 + 310 + 1 = 666.

It is not a de Polignac number, because 1302201313101 - 213 = 1302201304909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302201313103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 647538186 + ... + 647540196.

It is an arithmetic number, because the mean of its divisors is an integer number (13742378496).

Almost surely, 21302201313101 is an apocalyptic number.

It is an amenable number.

1302201313101 is a deficient number, since it is larger than the sum of its proper divisors (896579246259).

1302201313101 is a wasteful number, since it uses less digits than its factorization.

1302201313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1302201313101 its reverse (1013131022031), we get a palindrome (2315332335132).

The spelling of 1302201313101 in words is "one trillion, three hundred two billion, two hundred one million, three hundred thirteen thousand, one hundred one".

Divisors: 1 3 9 13 27 31 39 81 83 93 117 239 249 279 351 403 717 747 837 1053 1079 1209 2011 2151 2241 2511 2573 3107 3237 3627 6033 6453 6723 7409 7719 9321 9711 10881 18099 19359 19837 22227 23157 26143 27963 29133 32643 33449 54297 59511 62341 66681 69471 78429 83889 87399 96317 100347 162891 166913 178533 187023 200043 208413 235287 251667 257881 288951 301041 480629 500739 535599 561069 600129 614947 705861 773643 810433 866853 903123 1441887 1502217 1606797 1683207 1844841 2117583 2169869 2320929 2431299 2600559 2709369 4325661 4506651 5049621 5174303 5534523 6248177 6509607 6962787 7293897 7801677 7994311 12976983 13519953 14899499 15522909 16603569 18744531 19528821 20888361 21881691 23982933 38930949 39892207 44698497 46568727 49810707 56233593 58586463 65645073 67265939 71948799 119676621 134095491 139706181 168700779 175759389 193693487 201797817 215846397 359029863 402286473 419118543 506102337 518598691 581080461 605393451 647539191 1077089589 1206859419 1236658417 1555796073 1743241383 1816180353 3231268767 3709975251 4667388219 5229724149 5448541059 11129925753 14002164657 15689172447 16076559421 33389777259 42006493971 48229678263 100169331777 144689034789 434067104367 1302201313101