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100213141101 = 31731371713133
BaseRepresentation
bin101110101010100101…
…0110010111001101101
3100120200000201000212120
41131111022302321231
53120214031003401
6114012015223153
710145242434063
oct1352512627155
9316600630776
10100213141101
1139555784177
1217509217ab9
1395b0a18238
144bc94a4033
152917cdc836
hex17552b2e6d

100213141101 has 32 divisors (see below), whose sum is σ = 149988307968. Its totient is φ = 59205841920.

The previous prime is 100213141069. The next prime is 100213141111. The reversal of 100213141101 is 101141312001.

It is not a de Polignac number, because 100213141101 - 25 = 100213141069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213141111) 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, 798070 + ... + 915063.

It is an arithmetic number, because the mean of its divisors is an integer number (4687134624).

Almost surely, 2100213141101 is an apocalyptic number.

It is an amenable number.

100213141101 is a deficient number, since it is larger than the sum of its proper divisors (49775166867).

100213141101 is a wasteful number, since it uses less digits than its factorization.

100213141101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713221.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100213141101 its reverse (101141312001), we get a palindrome (201354453102).

The spelling of 100213141101 in words is "one hundred billion, two hundred thirteen million, one hundred forty-one thousand, one hundred one".

Divisors: 1 3 17 31 37 51 93 111 527 629 1147 1581 1887 3441 19499 58497 1713133 5139399 29123261 53107123 63385921 87369783 159321369 190157763 902821091 1077560657 1964963551 2708463273 3232681971 5894890653 33404380367 100213141101