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10937121 = 3132389137
BaseRepresentation
bin101001101110…
…001100100001
3202120122220120
4221232030201
510244441441
61030230453
7161651436
oct51561441
922518816
1010937121
1161a0248
1237b5429
13235c290
141649b8d
15e60966
hexa6e321

10937121 has 32 divisors (see below), whose sum is σ = 16692480. Its totient is φ = 6319104.

The previous prime is 10937107. The next prime is 10937131. The reversal of 10937121 is 12173901.

It is not a de Polignac number, because 10937121 - 26 = 10937057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10937091 and 10937100.

It is not an unprimeable number, because it can be changed into a prime (10937131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79765 + ... + 79901.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 210937121 is an apocalyptic number.

It is an amenable number.

10937121 is a deficient number, since it is larger than the sum of its proper divisors (5755359).

10937121 is a wasteful number, since it uses less digits than its factorization.

10937121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265.

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 10937121 is about 3307.1318389202. The cubic root of 10937121 is about 221.9734364775.

The spelling of 10937121 in words is "ten million, nine hundred thirty-seven thousand, one hundred twenty-one".

Divisors: 1 3 13 23 39 69 89 137 267 299 411 897 1157 1781 2047 3151 3471 5343 6141 9453 12193 26611 36579 40963 79833 122889 158509 280439 475527 841317 3645707 10937121