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121950465 = 35721312763
BaseRepresentation
bin1110100010011…
…01000100000001
322111110201120220
413101031010001
5222204403330
620033453253
73010363500
oct721150401
9274421526
10121950465
116292420a
1234a11229
131c35a950
14122a6837
15aa8d710
hex744d101

121950465 has 48 divisors (see below), whose sum is σ = 244456128. Its totient is φ = 51456384.

The previous prime is 121950461. The next prime is 121950473. The reversal of 121950465 is 564059121.

It is not a de Polignac number, because 121950465 - 22 = 121950461 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121950461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3174 + ... + 15936.

It is an arithmetic number, because the mean of its divisors is an integer number (5092836).

Almost surely, 2121950465 is an apocalyptic number.

121950465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121950465 is an abundant number, since it is smaller than the sum of its proper divisors (122505663).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121950465 is a wasteful number, since it uses less digits than its factorization.

121950465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12798 (or 12791 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 121950465 is about 11043.1184454392. The cubic root of 121950465 is about 495.9004322881.

The spelling of 121950465 in words is "one hundred twenty-one million, nine hundred fifty thousand, four hundred sixty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 1365 1911 3185 9555 12763 38289 63815 89341 165919 191445 268023 446705 497757 625387 829595 1161433 1340115 1876161 2488785 3126935 3484299 5807165 8130031 9380805 17421495 24390093 40650155 121950465