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1311242121224 = 2371271209715241
BaseRepresentation
bin10011000101001100000…
…111101111000000001000
311122100112201101101100022
4103011030013233000020
5132440410440334344
62442213141200012
7163506542063120
oct23051407570010
94570481341308
101311242121224
11466104aa2272
12192164400008
139685a236289
1447670683c80
1524195d8e0ee
hex1314c1ef008

1311242121224 has 64 divisors (see below), whose sum is σ = 2832348917760. Its totient is φ = 557453352960.

The previous prime is 1311242121181. The next prime is 1311242121307. The reversal of 1311242121224 is 4221212421131.

It is a super-2 number, since 2×13112421212242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311242121193 and 1311242121202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86026244 + ... + 86041484.

It is an arithmetic number, because the mean of its divisors is an integer number (44255451840).

Almost surely, 21311242121224 is an apocalyptic number.

1311242121224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1311242121224 is an abundant number, since it is smaller than the sum of its proper divisors (1521106796536).

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

1311242121224 is a wasteful number, since it uses less digits than its factorization.

1311242121224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27478 (or 27474 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

Adding to 1311242121224 its reverse (4221212421131), we get a palindrome (5532454542355).

The spelling of 1311242121224 in words is "one trillion, three hundred eleven billion, two hundred forty-two million, one hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 127 254 508 889 1016 1778 3556 7112 12097 15241 24194 30482 48388 60964 84679 96776 106687 121928 169358 213374 338716 426748 677432 853496 1536319 1935607 3072638 3871214 6145276 7742428 10754233 12290552 13549249 15484856 21508466 27098498 43016932 54196996 86033864 108393992 184370377 368740754 737481508 1290592639 1474963016 2581185278 5162370556 10324741112 23415037879 46830075758 93660151516 163905265153 187320303032 327810530306 655621060612 1311242121224