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1233420100 = 2252112574363
BaseRepresentation
bin100100110000100…
…0111111101000100
310011221220020021221
41021201013331010
510011223420400
6322220250124
742364616653
oct11141077504
93157806257
101233420100
11583262860
122a50a0944
131686c60a3
14b9b4d19a
157343cc1a
hex49847f44

1233420100 has 72 divisors (see below), whose sum is σ = 2931874848. Its totient is φ = 446668800.

The previous prime is 1233420077. The next prime is 1233420101. The reversal of 1233420100 is 10243321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1233420101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280519 + ... + 284881.

It is an arithmetic number, because the mean of its divisors is an integer number (40720484).

Almost surely, 21233420100 is an apocalyptic number.

1233420100 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 1233420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465937424).

1233420100 is an abundant number, since it is smaller than the sum of its proper divisors (1698454748).

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

1233420100 is a wasteful number, since it uses less digits than its factorization.

1233420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1233420100 is about 35120.0811502479. The cubic root of 1233420100 is about 1072.4334228391.

Adding to 1233420100 its reverse (10243321), we get a palindrome (1243663421).

The spelling of 1233420100 in words is "one billion, two hundred thirty-three million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 257 275 514 550 1028 1100 1285 2570 2827 4363 5140 5654 6425 8726 11308 12850 14135 17452 21815 25700 28270 43630 47993 56540 70675 87260 95986 109075 141350 191972 218150 239965 282700 436300 479930 959860 1121291 1199825 2242582 2399650 4485164 4799300 5606455 11212910 12334201 22425820 24668402 28032275 49336804 56064550 61671005 112129100 123342010 246684020 308355025 616710050 1233420100