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1220101140 = 2235151134669
BaseRepresentation
bin100100010111001…
…0100010000010100
310011000211120010010
41020232110100110
54444321214030
6321023000220
742143455116
oct11056242024
93130746103
101220101140
11576796055
122a0739070
13165a1194b
14b80833b6
15721ab6b0
hex48b94414

1220101140 has 48 divisors (see below), whose sum is σ = 3438933120. Its totient is φ = 323203200.

The previous prime is 1220101139. The next prime is 1220101147. The reversal of 1220101140 is 411010221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220101147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58275 + ... + 76394.

It is an arithmetic number, because the mean of its divisors is an integer number (71644440).

Almost surely, 21220101140 is an apocalyptic number.

1220101140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220101140 is an abundant number, since it is smaller than the sum of its proper divisors (2218831980).

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

1220101140 is a wasteful number, since it uses less digits than its factorization.

1220101140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134832 (or 134830 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1220101140 is about 34929.9461780290. The cubic root of 1220101140 is about 1068.5592569551.

Adding to 1220101140 its reverse (411010221), we get a palindrome (1631111361).

The spelling of 1220101140 in words is "one billion, two hundred twenty million, one hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 9060 134669 269338 404007 538676 673345 808014 1346690 1616028 2020035 2693380 4040070 8080140 20335019 40670038 61005057 81340076 101675095 122010114 203350190 244020228 305025285 406700380 610050570 1220101140