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1220422434100 = 225215777733913
BaseRepresentation
bin10001110000100110110…
…110000111110100110100
311022200010100010020212121
4101300212312013310310
5124443411120342400
62332353200125324
7154113130346152
oct21604666076464
94280110106777
101220422434100
1143063a714101
12178639006844
138b11565a23c
14430d69743d2
1521b2ca9c21a
hex11c26d87d34

1220422434100 has 36 divisors (see below), whose sum is σ = 2665184975404. Its totient is φ = 485059610880.

The previous prime is 1220422434083. The next prime is 1220422434109. The reversal of 1220422434100 is 14342240221.

It can be written as a sum of positive squares in 6 ways, for example, as 43062890256 + 1177359543844 = 207516^2 + 1085062^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220422434109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38851257 + ... + 38882656.

Almost surely, 21220422434100 is an apocalyptic number.

1220422434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220422434100 is an abundant number, since it is smaller than the sum of its proper divisors (1444762541304).

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

1220422434100 is a wasteful number, since it uses less digits than its factorization.

1220422434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77734084 (or 77734077 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1220422434100 its reverse (14342240221), we get a palindrome (1234764674321).

The spelling of 1220422434100 in words is "one trillion, two hundred twenty billion, four hundred twenty-two million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 15700 77733913 155467826 310935652 388669565 777339130 1554678260 1943347825 3886695650 7773391300 12204224341 24408448682 48816897364 61021121705 122042243410 244084486820 305105608525 610211217050 1220422434100