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153123201 = 32711253379
BaseRepresentation
bin10010010000001…
…11100110000001
3101200010110112200
421020013212001
5303144420301
623105543413
73536345220
oct1110074601
9350113480
10153123201
1179485800
1243344b69
132595365a
141649ccb7
15d699c86
hex9207981

153123201 has 72 divisors (see below), whose sum is σ = 283832640. Its totient is φ = 77837760.

The previous prime is 153123197. The next prime is 153123203. The reversal of 153123201 is 102321351.

It is not a de Polignac number, because 153123201 - 22 = 153123197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153123203) 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, 403830 + ... + 404208.

It is an arithmetic number, because the mean of its divisors is an integer number (3942120).

Almost surely, 2153123201 is an apocalyptic number.

153123201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

153123201 is a deficient number, since it is larger than the sum of its proper divisors (130709439).

153123201 is a wasteful number, since it uses less digits than its factorization.

153123201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 153123201 is about 12374.2959799740. The cubic root of 153123201 is about 534.9916451369.

Adding to 153123201 its reverse (102321351), we get a palindrome (255444552).

The spelling of 153123201 in words is "one hundred fifty-three million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 3 7 9 11 21 33 53 63 77 99 121 159 231 363 371 379 477 583 693 847 1089 1113 1137 1749 2541 2653 3339 3411 4081 4169 5247 6413 7623 7959 12243 12507 19239 20087 23877 29183 36729 37521 44891 45859 57717 60261 87549 134673 137577 140609 180783 220957 262647 321013 404019 412731 421827 662871 963039 1265481 1546699 1988613 2430527 2889117 4640097 7291581 13920291 17013689 21874743 51041067 153123201