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1311226115420 = 2251337491277601
BaseRepresentation
bin10011000101001011001…
…010101011010101011100
311122100111121021012111202
4103011023022223111130
5132440342341143140
62442211410135032
7163506256041014
oct23051312532534
94570447235452
101311226115420
114660a6a5a931
1219215ab81478
1396856b20ba0
144766c4b8c44
152419477b915
hex1314b2ab55c

1311226115420 has 96 divisors (see below), whose sum is σ = 3051747631296. Its totient is φ = 470098944000.

The previous prime is 1311226115417. The next prime is 1311226115431. The reversal of 1311226115420 is 245116221131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4584620 + ... + 4862220.

It is an arithmetic number, because the mean of its divisors is an integer number (31789037826).

Almost surely, 21311226115420 is an apocalyptic number.

1311226115420 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 1311226115420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525873815648).

1311226115420 is an abundant number, since it is smaller than the sum of its proper divisors (1740521515876).

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

1311226115420 is a wasteful number, since it uses less digits than its factorization.

1311226115420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278151 (or 278149 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 1311226115420 in words is "one trillion, three hundred eleven billion, two hundred twenty-six million, one hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 491 740 962 982 1924 1964 2405 2455 4810 4910 6383 9620 9820 12766 18167 25532 31915 36334 63830 72668 90835 127660 181670 236171 277601 363340 472342 555202 944684 1110404 1180855 1388005 2361710 2776010 3608813 4723420 5552020 7217626 10271237 14435252 18044065 20542474 36088130 41084948 51356185 72176260 102712370 133526081 136302091 205424740 267052162 272604182 534104324 545208364 667630405 681510455 1335260810 1363020910 1771927183 2670521620 2726041820 3543854366 5043177367 7087708732 8859635915 10086354734 17719271830 20172709468 25215886835 35438543660 50431773670 65561305771 100863547340 131122611542 262245223084 327806528855 655613057710 1311226115420