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153221105214135 = 32572278321349963
BaseRepresentation
bin100010110101101010010001…
…100011000110001010110111
3202002111210110021012201101200
4202311222101203012022313
5130040333310413323020
61301512445355423543
744162600552262150
oct4265522143061267
9662453407181350
10153221105214135
1144903784477972
121522733a154bb3
1367658c404a96a
1429b9d263b4927
1512aa974dc9590
hex8b5a918c62b7

153221105214135 has 48 divisors (see below), whose sum is σ = 303537049780224. Its totient is φ = 70040856136896.

The previous prime is 153221105214103. The next prime is 153221105214137. The reversal of 153221105214135 is 531412501122351.

153221105214135 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 2 + 110 + 521 + 4 + 13 + 5 = 666.

It is not a de Polignac number, because 153221105214135 - 25 = 153221105214103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 153221105214135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153221105214137) 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 47 ways as a sum of consecutive naturals, for example, 3498337 + ... + 17851626.

It is an arithmetic number, because the mean of its divisors is an integer number (6323688537088).

Almost surely, 2153221105214135 is an apocalyptic number.

153221105214135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

153221105214135 is a deficient number, since it is larger than the sum of its proper divisors (150315944566089).

153221105214135 is a wasteful number, since it uses less digits than its factorization.

153221105214135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21372764 (or 21372761 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 153221105214135 its reverse (531412501122351), we get a palindrome (684633606336486).

The spelling of 153221105214135 in words is "one hundred fifty-three trillion, two hundred twenty-one billion, one hundred five million, two hundred fourteen thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 22783 68349 113915 159481 205047 341745 478443 797405 1025235 1435329 2392215 7176645 21349963 64049889 106749815 149449741 192149667 320249445 448349223 747248705 960748335 1345047669 2241746115 6725238345 486416207029 1459248621087 2432081035145 3404913449203 4377745863261 7296243105435 10214740347609 17024567246015 21888729316305 30644221042827 51073701738045 153221105214135