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1211032420 = 22513101107431
BaseRepresentation
bin100100000101110…
…1110001101100100
310010101202211011121
41020023232031210
54440011014140
6320100343324
742003414523
oct11013561544
93111684147
101211032420
11571661644
122996a4b44
13163b87c40
14b6ba24ba
15714b964a
hex482ee364

1211032420 has 96 divisors (see below), whose sum is σ = 2798240256. Its totient is φ = 437568000.

The previous prime is 1211032387. The next prime is 1211032423. The reversal of 1211032420 is 242301121.

It is a junction number, because it is equal to n+sod(n) for n = 1211032394 and 1211032403.

It is not an unprimeable number, because it can be changed into a prime (1211032423) 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, 2809605 + ... + 2810035.

It is an arithmetic number, because the mean of its divisors is an integer number (29148336).

Almost surely, 21211032420 is an apocalyptic number.

1211032420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211032420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399120128).

1211032420 is an abundant number, since it is smaller than the sum of its proper divisors (1587207836).

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

1211032420 is a wasteful number, since it uses less digits than its factorization.

1211032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1211032420 is about 34799.8910917836. The cubic root of 1211032420 is about 1065.9052219767.

Adding to 1211032420 its reverse (242301121), we get a palindrome (1453333541).

The spelling of 1211032420 in words is "one billion, two hundred eleven million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 107 130 202 214 260 404 428 431 505 535 862 1010 1070 1313 1391 1724 2020 2140 2155 2626 2782 4310 5252 5564 5603 6565 6955 8620 10807 11206 13130 13910 21614 22412 26260 27820 28015 43228 43531 46117 54035 56030 87062 92234 108070 112060 140491 174124 184468 216140 217655 230585 280982 435310 461170 561964 565903 599521 702455 870620 922340 1131806 1199042 1404910 2263612 2398084 2809820 2829515 2997605 4657817 5659030 5995210 9315634 11318060 11990420 18631268 23289085 46578170 60551621 93156340 121103242 242206484 302758105 605516210 1211032420