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103401142132221 = 33293716321896477
BaseRepresentation
bin10111100000101011110100…
…010110001001110111111101
3111120010001102101021111121000
4113200223310112021313331
5102023111014341212341
61003525455014200513
730531325460232033
oct2740536426116775
9446101371244530
10103401142132221
112aa461a608707a
12b71ba01353139
1345908bbac705b
141b768db856553
15be4a7ad168b6
hex5e0af4589dfd

103401142132221 has 64 divisors (see below), whose sum is σ = 163750621075200. Its totient is φ = 64360925008128.

The previous prime is 103401142132199. The next prime is 103401142132237. The reversal of 103401142132221 is 122231241104301.

103401142132221 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 0 + 11 + 421 + 3 + 2 + 221 = 666.

It is not a de Polignac number, because 103401142132221 - 217 = 103401142001149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103401142132621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6225966 + ... + 15670511.

It is an arithmetic number, because the mean of its divisors is an integer number (2558603454300).

Almost surely, 2103401142132221 is an apocalyptic number.

It is an amenable number.

103401142132221 is a deficient number, since it is larger than the sum of its proper divisors (60349478942979).

103401142132221 is a wasteful number, since it uses less digits than its factorization.

103401142132221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21896715 (or 21896709 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 103401142132221 its reverse (122231241104301), we get a palindrome (225632383236522).

The spelling of 103401142132221 in words is "one hundred three trillion, four hundred one billion, one hundred forty-two million, one hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 29 37 87 111 163 261 333 489 783 999 1073 1467 3219 4401 4727 6031 9657 14181 18093 28971 42543 54279 127629 162837 174899 524697 1574091 4722273 21896477 65689431 197068293 591204879 634997833 810169649 1904993499 2430508947 3569125751 5714980497 7291526841 10707377253 17144941491 21874580523 23494919821 32122131759 70484759463 96366395277 103504646779 132057652787 211454278389 310513940337 396172958361 634362835167 931541821011 1188518875083 2794625463033 3565556625249 3829671930823 11489015792469 34467047377407 103401142132221