Search a number
-
+
2124525552201 = 381361408337
BaseRepresentation
bin11110111010100111100…
…101110100001001001001
321112002202211122100000000
4132322213211310021021
5234302012020132301
64303554335433213
7306330503143143
oct36724745641111
97462684570000
102124525552201
1174a008319298
122a38b7385809
1312545a200880
1474b82c73c93
153a3e541c786
hex1eea7974249

2124525552201 has 72 divisors (see below), whose sum is σ = 3488018295944. Its totient is φ = 1285964398080.

The previous prime is 2124525552187. The next prime is 2124525552239. The reversal of 2124525552201 is 1022555254212.

2124525552201 is a `hidden beast` number, since 2 + 124 + 5 + 2 + 5 + 5 + 522 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 164287544976 + 1960238007225 = 405324^2 + 1400085^2 .

It is not a de Polignac number, because 2124525552201 - 25 = 2124525552169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2124525552241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4998705 + ... + 5407041.

Almost surely, 22124525552201 is an apocalyptic number.

It is an amenable number.

2124525552201 is a deficient number, since it is larger than the sum of its proper divisors (1363492743743).

2124525552201 is an frugal number, since it uses more digits than its factorization.

2124525552201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408435 (or 408414 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 2124525552201 in words is "two trillion, one hundred twenty-four billion, five hundred twenty-five million, five hundred fifty-two thousand, two hundred one".

Divisors: 1 3 9 13 27 39 61 81 117 183 243 351 549 729 793 1053 1647 2187 2379 3159 4941 6561 7137 9477 14823 21411 28431 44469 64233 85293 133407 192699 400221 408337 578097 1225011 1734291 3675033 5202873 5308381 11025099 15925143 24908557 33075297 47775429 74725671 99225891 143326287 224177013 297677673 323811241 429978861 672531039 893033019 971433723 1289936583 2017593117 2679099057 2914301169 3869809749 6052779351 8742903507 11609429247 18158338053 26228710521 34828287741 54475014159 78686131563 163425042477 236058394689 708175184067 2124525552201