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121322322 = 232114713037
BaseRepresentation
bin1110011101100…
…11101101010010
322110021210221100
413032303231102
5222024303242
620012205230
73002136252
oct716635522
9273253840
10121322322
1162535290
1234769816
131c19aa74
1412181962
15a9b754c
hex73b3b52

121322322 has 48 divisors (see below), whose sum is σ = 292885632. Its totient is φ = 35979360.

The previous prime is 121322317. The next prime is 121322339. The reversal of 121322322 is 223223121.

121322322 is a `hidden beast` number, since 1 + 21 + 322 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121322295 and 121322304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2788 + ... + 15824.

It is an arithmetic number, because the mean of its divisors is an integer number (6101784).

Almost surely, 2121322322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121322322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146442816).

121322322 is an abundant number, since it is smaller than the sum of its proper divisors (171563310).

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

121322322 is a wasteful number, since it uses less digits than its factorization.

121322322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13103 (or 13100 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 121322322 is about 11014.6412560737. The cubic root of 121322322 is about 495.0475375221.

Adding to 121322322 its reverse (223223121), we get a palindrome (344545443).

The spelling of 121322322 in words is "one hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 3102 4653 9306 13037 26074 39111 78222 117333 143407 234666 286814 430221 612739 860442 1225478 1290663 1838217 2581326 3676434 5514651 6740129 11029302 13480258 20220387 40440774 60661161 121322322