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152665412100201 = 327111321361957773
BaseRepresentation
bin100010101101100100101111…
…101010000110000001101001
3202000112200010001120200101200
4202231210233222012001221
5130002232230444201301
61300405304435434413
744104466141611110
oct4255445752060151
9660480101520350
10152665412100201
114470a046173690
12151576b5755a09
136725395833600
14299b08c6d8c77
15129b29ebd7c86
hex8ad92fa86069

152665412100201 has 144 divisors (see below), whose sum is σ = 297924230328192. Its totient is φ = 73152326707200.

The previous prime is 152665412100121. The next prime is 152665412100211. The reversal of 152665412100201 is 102001214566251.

152665412100201 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 6 + 541 + 2 + 100 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 152665412100201 - 213 = 152665412092009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152665412100211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 158917351 + ... + 159875123.

It is an arithmetic number, because the mean of its divisors is an integer number (2068918266168).

Almost surely, 2152665412100201 is an apocalyptic number.

152665412100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

152665412100201 is a deficient number, since it is larger than the sum of its proper divisors (145258818227991).

152665412100201 is a wasteful number, since it uses less digits than its factorization.

152665412100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959184 (or 959168 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 152665412100201 its reverse (102001214566251), we get a palindrome (254666626666452).

The spelling of 152665412100201 in words is "one hundred fifty-two trillion, six hundred sixty-five billion, four hundred twelve million, one hundred thousand, two hundred one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 169 231 273 429 507 693 819 1001 1183 1287 1361 1521 1859 3003 3549 4083 5577 9009 9527 10647 12249 13013 14971 16731 17693 28581 39039 44913 53079 85743 104797 117117 123851 134739 159237 194623 230009 314391 371553 583869 690027 943173 957773 1114659 1362361 1610063 1751607 2070081 2530099 2873319 4087083 4830189 6704411 7590297 8619957 10535503 12261249 12451049 14490567 17710693 20113233 22770891 31606509 37353147 53132079 60339699 73748521 87157343 94819527 112059441 136961539 159396237 161863637 221245563 261472029 410884617 485590911 663736689 784416087 958730773 1133045459 1232653851 1303529053 1456772733 1780500007 2876192319 3399136377 3910587159 5341500021 8628576957 9124703371 10197409131 11731761477 12463500049 14338819583 16024500063 16945877689 27374110113 37390500147 43016458749 50837633067 82122330339 100371737081 112171500441 118621143823 129049376247 152512899201 186404654579 220296409957 301115211243 355863431469 559213963737 660889229871 903345633729 1067590294407 1304832582053 1542074869699 1677641891211 1982667689613 2423260509527 3914497746159 4626224609097 7269781528581 11743493238477 13878673827291 16962823566689 21809344585743 50888470700067 152665412100201