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13402010112 = 293173371523
BaseRepresentation
bin11000111101101001…
…00111001000000000
31021121000020122122220
430132310213020000
5204421403310422
610053511331040
7653054130531
oct143664471000
937530218586
1013402010112
1157580a3617
122720380a80
1313577681ca
14911cd4688
155368b0e5c
hex31ed27200

13402010112 has 160 divisors (see below), whose sum is σ = 37941089472. Its totient is φ = 4189323264.

The previous prime is 13402010101. The next prime is 13402010113. The reversal of 13402010112 is 21101020431.

It is a super-2 number, since 2×134020101122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13402010091 and 13402010100.

It is not an unprimeable number, because it can be changed into a prime (13402010113) 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, 8798983 + ... + 8800505.

Almost surely, 213402010112 is an apocalyptic number.

13402010112 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 13402010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18970544736).

13402010112 is an abundant number, since it is smaller than the sum of its proper divisors (24539079360).

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

13402010112 is a wasteful number, since it uses less digits than its factorization.

13402010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13402010112 its reverse (21101020431), we get a palindrome (34503030543).

The spelling of 13402010112 in words is "thirteen billion, four hundred two million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 337 384 408 512 544 674 768 816 1011 1088 1348 1523 1536 1632 2022 2176 2696 3046 3264 4044 4352 4569 5392 5729 6092 6528 8088 8704 9138 10784 11458 12184 13056 16176 17187 18276 21568 22916 24368 25891 26112 32352 34374 36552 43136 45832 48736 51782 64704 68748 73104 77673 86272 91664 97472 103564 129408 137496 146208 155346 172544 183328 194944 207128 258816 274992 292416 310692 366656 389888 414256 513251 517632 549984 584832 621384 733312 779776 828512 1026502 1099968 1169664 1242768 1466624 1539753 1657024 2053004 2199936 2339328 2485536 2933248 3079506 3314048 4106008 4399872 4971072 6159012 6628096 8212016 8725267 8799744 9942144 12318024 13256192 16424032 17450534 19884288 24636048 26175801 32848064 34901068 39768576 49272096 52351602 65696128 69802136 98544192 104703204 131392256 139604272 197088384 209406408 262784512 279208544 394176768 418812816 558417088 788353536 837625632 1116834176 1675251264 2233668352 3350502528 4467336704 6701005056 13402010112