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10153211461 = 17109131151277
BaseRepresentation
bin10010111010010110…
…11011011001000101
3222012121001120201221
421131023123121011
5131243210231321
64355254320341
7506414605411
oct113513333105
928177046657
1010153211461
114340250058
121b743590b1
13c5a672043
146c4645d41
153e6573e41
hex25d2db645

10153211461 has 32 divisors (see below), whose sum is σ = 11044028160. Its totient is φ = 9300096000.

The previous prime is 10153211447. The next prime is 10153211479. The reversal of 10153211461 is 16411235101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10153211461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153211401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36654055 + ... + 36654331.

It is an arithmetic number, because the mean of its divisors is an integer number (345125880).

Almost surely, 210153211461 is an apocalyptic number.

It is an amenable number.

10153211461 is a deficient number, since it is larger than the sum of its proper divisors (890816699).

10153211461 is a wasteful number, since it uses less digits than its factorization.

10153211461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685.

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 10153211461 its reverse (16411235101), we get a palindrome (26564446562).

The spelling of 10153211461 in words is "ten billion, one hundred fifty-three million, two hundred eleven thousand, four hundred sixty-one".

Divisors: 1 17 109 131 151 277 1853 2227 2567 4709 14279 16459 19781 30193 36287 41827 242743 279803 336277 513281 616879 711059 2156129 3955283 4559143 5479337 36654193 67239811 77505431 93148729 597247733 10153211461