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1313001223212 = 2237157503197933
BaseRepresentation
bin10011000110110100111…
…110001011010000101100
311122112002022110000121210
4103012310332023100230
5133003011303120322
62443103500554420
7163601252152260
oct23066476132054
94575068400553
101313001223212
11466927a62668
12192575552a10
1396a7a806b23
144779a1520a0
152424a51970c
hex131b4f8b42c

1313001223212 has 96 divisors (see below), whose sum is σ = 3530661184512. Its totient is φ = 372010818816.

The previous prime is 1313001223201. The next prime is 1313001223213. The reversal of 1313001223212 is 2123221003131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1313001223213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6534598 + ... + 6732530.

It is an arithmetic number, because the mean of its divisors is an integer number (36777720672).

Almost surely, 21313001223212 is an apocalyptic number.

1313001223212 is a gapful number since it is divisible by the number (12) 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 1313001223212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765330592256).

1313001223212 is an abundant number, since it is smaller than the sum of its proper divisors (2217659961300).

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

1313001223212 is a wasteful number, since it uses less digits than its factorization.

1313001223212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198607 (or 198605 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1313001223212 its reverse (2123221003131), we get a palindrome (3436222226343).

The spelling of 1313001223212 in words is "one trillion, three hundred thirteen billion, one million, two hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 314 471 503 628 942 1006 1099 1509 1884 2012 2198 3018 3297 3521 4396 6036 6594 7042 10563 13188 14084 21126 42252 78971 157942 197933 236913 315884 395866 473826 552797 593799 791732 947652 1105594 1187598 1385531 1658391 2211188 2375196 2771062 3316782 4156593 5542124 6633564 8313186 16626372 31075481 62150962 93226443 99560299 124301924 186452886 199120598 217528367 298680897 372905772 398241196 435056734 597361794 652585101 696922093 870113468 1194723588 1305170202 1393844186 2090766279 2610340404 2787688372 4181532558 8363065116 15630966943 31261933886 46892900829 62523867772 93785801658 109416768601 187571603316 218833537202 328250305803 437667074404 656500611606 1313001223212