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121918216903 = 7179743130957
BaseRepresentation
bin111000110001011100…
…1000101101011000111
3102122200200122010101221
41301202321011223013
53444142030420103
6132001454301211
711544150513340
oct1614271055307
9378620563357
10121918216903
114778372294a
121b7661b7807
13b65c728862
145c87dd30c7
1532885b11bd
hex1c62e45ac7

121918216903 has 16 divisors (see below), whose sum is σ = 140303162880. Its totient is φ = 103776867936.

The previous prime is 121918216877. The next prime is 121918216909. The reversal of 121918216903 is 309612819121.

It is not a de Polignac number, because 121918216903 - 233 = 113328282311 is a prime.

It is a super-2 number, since 2×1219182169032 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121918216903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121918216909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865501 + ... + 996457.

It is an arithmetic number, because the mean of its divisors is an integer number (8768947680).

Almost surely, 2121918216903 is an apocalyptic number.

121918216903 is a deficient number, since it is larger than the sum of its proper divisors (18384945977).

121918216903 is a wasteful number, since it uses less digits than its factorization.

121918216903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131886.

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 121918216903 in words is "one hundred twenty-one billion, nine hundred eighteen million, two hundred sixteen thousand, nine hundred three".

Divisors: 1 7 179 743 1253 5201 130957 132997 916699 930979 23441303 97301051 164089121 681107357 17416888129 121918216903