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1220350131 = 357111329173
BaseRepresentation
bin100100010111101…
…0001000010110011
310011001022012200000
41020233101002303
54444402201011
6321032201043
742145543050
oct11057210263
93131265600
101220350131
11576946130
122a0839183
13165a9b090
14b810a027
157220a356
hex48bd10b3

1220350131 has 192 divisors, whose sum is σ = 2553707520. Its totient is φ = 561738240.

The previous prime is 1220350063. The next prime is 1220350133. The reversal of 1220350131 is 1310530221.

It is not a de Polignac number, because 1220350131 - 29 = 1220349619 is a prime.

It is a super-2 number, since 2×12203501312 = 2978508884463434322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1220350133) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7053961 + ... + 7054133.

It is an arithmetic number, because the mean of its divisors is an integer number (13300560).

Almost surely, 21220350131 is an apocalyptic number.

1220350131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1220350131 is an abundant number, since it is smaller than the sum of its proper divisors (1333357389).

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

1220350131 is a wasteful number, since it uses less digits than its factorization.

1220350131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1220350131 is about 34933.5101442726. The cubic root of 1220350131 is about 1068.6319404216.

Adding to 1220350131 its reverse (1310530221), we get a palindrome (2530880352).

The spelling of 1220350131 in words is "one billion, two hundred twenty million, three hundred fifty thousand, one hundred thirty-one".