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1221210100 = 2252115320947
BaseRepresentation
bin100100011001010…
…0010111111110100
310011002220220022201
41020302202333310
510000112210400
6321102434244
742156054205
oct11062427764
93132826281
101221210100
11577383250
122a0b92984
1316600c636
14b82915ac
157232a06a
hex48ca2ff4

1221210100 has 72 divisors (see below), whose sum is σ = 2945623968. Its totient is φ = 435676800.

The previous prime is 1221210043. The next prime is 1221210119. The reversal of 1221210100 is 10121221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47827 + ... + 68773.

It is an arithmetic number, because the mean of its divisors is an integer number (40911444).

Almost surely, 21221210100 is an apocalyptic number.

1221210100 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 1221210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472811984).

1221210100 is an abundant number, since it is smaller than the sum of its proper divisors (1724413868).

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

1221210100 is a wasteful number, since it uses less digits than its factorization.

1221210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21025 (or 21018 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1221210100 is about 34945.8166308930. The cubic root of 1221210100 is about 1068.8828996981.

Adding to 1221210100 its reverse (10121221), we get a palindrome (1231331321).

The spelling of 1221210100 in words is "one billion, two hundred twenty-one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 530 550 583 1060 1100 1166 1325 2332 2650 2915 5300 5830 11660 14575 20947 29150 41894 58300 83788 104735 209470 230417 418940 460834 523675 921668 1047350 1110191 1152085 2094700 2220382 2304170 4440764 4608340 5550955 5760425 11101910 11520850 12212101 22203820 23041700 24424202 27754775 48848404 55509550 61060505 111019100 122121010 244242020 305302525 610605050 1221210100