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120880221 = 37113714143
BaseRepresentation
bin1110011010001…
…11110001011101
322102110100111020
413031013301131
5221421131341
615554514353
72665315320
oct715076135
9272410436
10120880221
1162263110
12345959b9
131c074777
14120a87b7
15a92b566
hex7347c5d

120880221 has 32 divisors (see below), whose sum is σ = 206389248. Its totient is φ = 61093440.

The previous prime is 120880213. The next prime is 120880231. The reversal of 120880221 is 122088021.

120880221 = T238 + T239 + ... + T903.

It is not a de Polignac number, because 120880221 - 23 = 120880213 is a prime.

It is a super-2 number, since 2×1208802212 = 29224055658017682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120880191 and 120880200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120880231) 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, 1476 + ... + 15618.

It is an arithmetic number, because the mean of its divisors is an integer number (6449664).

Almost surely, 2120880221 is an apocalyptic number.

120880221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120880221 is a deficient number, since it is larger than the sum of its proper divisors (85509027).

120880221 is a wasteful number, since it uses less digits than its factorization.

120880221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14201.

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 120880221 is about 10994.5541519427. The cubic root of 120880221 is about 494.4454845448.

The spelling of 120880221 in words is "one hundred twenty million, eight hundred eighty thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 33 37 77 111 231 259 407 777 1221 2849 8547 14143 42429 99001 155573 297003 466719 523291 1089011 1569873 3267033 3663037 5756201 10989111 17268603 40293407 120880221