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121820058 = 23319373209
BaseRepresentation
bin1110100001011…
…01001110011010
322111020002201000
413100231032122
5222141220213
620031005430
73006311343
oct720551632
9274202630
10121820058
1162845238
1234969876
131c313499
14122710ca
15aa64c73
hex742d39a

121820058 has 64 divisors (see below), whose sum is σ = 292752000. Its totient is φ = 37418112.

The previous prime is 121820047. The next prime is 121820063. The reversal of 121820058 is 850028121.

It is a super-2 number, since 2×1218200582 = 29680253062246728, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36358 + ... + 39566.

It is an arithmetic number, because the mean of its divisors is an integer number (4574250).

Almost surely, 2121820058 is an apocalyptic number.

121820058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121820058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146376000).

121820058 is an abundant number, since it is smaller than the sum of its proper divisors (170931942).

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

121820058 is a wasteful number, since it uses less digits than its factorization.

121820058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 121820058 is about 11037.2124198096. The cubic root of 121820058 is about 495.7236065240.

Adding to 121820058 its reverse (850028121), we get a palindrome (971848179).

The spelling of 121820058 in words is "one hundred twenty-one million, eight hundred twenty thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 111 114 171 222 333 342 513 666 703 999 1026 1406 1998 2109 3209 4218 6327 6418 9627 12654 18981 19254 28881 37962 57762 60971 86643 118733 121942 173286 182913 237466 356199 365826 548739 712398 1068597 1097478 1646217 2137194 2255927 3205791 3292434 4511854 6411582 6767781 13535562 20303343 40606686 60910029 121820058