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1310120420 = 225737252919
BaseRepresentation
bin100111000010110…
…1101100111100100
310101022020000100112
41032011231213210
510140342323140
6334000232152
744315561030
oct11605554744
93338200315
101310120420
1161258a954
1230690b658
1317b56c5ab
14c5dd71c0
157a03dc65
hex4e16d9e4

1310120420 has 48 divisors (see below), whose sum is σ = 3229282560. Its totient is φ = 437042304.

The previous prime is 1310120417. The next prime is 1310120423. The reversal of 1310120420 is 240210131.

It is an interprime number because it is at equal distance from previous prime (1310120417) and next prime (1310120423).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1310120395 and 1310120404.

It is not an unprimeable number, because it can be changed into a prime (1310120423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121280 + ... + 131639.

It is an arithmetic number, because the mean of its divisors is an integer number (67276720).

Almost surely, 21310120420 is an apocalyptic number.

1310120420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310120420 is an abundant number, since it is smaller than the sum of its proper divisors (1919162140).

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

1310120420 is a wasteful number, since it uses less digits than its factorization.

1310120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252972 (or 252970 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1310120420 is about 36195.5856424509. The cubic root of 1310120420 is about 1094.2177074760.

Adding to 1310120420 its reverse (240210131), we get a palindrome (1550330551).

The spelling of 1310120420 in words is "one billion, three hundred ten million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 5180 252919 505838 1011676 1264595 1770433 2529190 3540866 5058380 7081732 8852165 9358003 17704330 18716006 35408660 37432012 46790015 65506021 93580030 131012042 187160060 262024084 327530105 655060210 1310120420