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10121436 = 22371389
BaseRepresentation
bin100110100111…
…000011011100
3201001020000000
4212213003130
510042341221
61000534300
7152013363
oct46470334
921036000
1010121436
115793426
123481390
132134c20
1414b67da
15d4de26
hex9a70dc

10121436 has 96 divisors (see below), whose sum is σ = 28929600. Its totient is φ = 3079296.

The previous prime is 10121429. The next prime is 10121437. The reversal of 10121436 is 63412101.

It is a happy number.

10121436 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121437) 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, 113680 + ... + 113768.

It is an arithmetic number, because the mean of its divisors is an integer number (301350).

Almost surely, 210121436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14464800).

10121436 is an abundant number, since it is smaller than the sum of its proper divisors (18808164).

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

10121436 is an equidigital number, since it uses as much as digits as its factorization.

10121436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10121436 is about 3181.4204374776. The cubic root of 10121436 is about 216.3120489747.

Adding to 10121436 its reverse (63412101), we get a palindrome (73533537).

The spelling of 10121436 in words is "ten million, one hundred twenty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 89 108 117 156 162 178 234 243 267 324 351 356 468 486 534 702 729 801 972 1053 1068 1157 1404 1458 1602 2106 2187 2314 2403 2916 3159 3204 3471 4212 4374 4628 4806 6318 6942 7209 8748 9477 9612 10413 12636 13884 14418 18954 20826 21627 28431 28836 31239 37908 41652 43254 56862 62478 64881 86508 93717 113724 124956 129762 187434 194643 259524 281151 374868 389286 562302 778572 843453 1124604 1686906 2530359 3373812 5060718 10121436