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4123302211312 = 2431103797101267
BaseRepresentation
bin111100000000000111111…
…101101010111011110000
3112121011222000120000202021
4330000013331222323300
51020024010331230222
612434115140201224
7603620162340544
oct74000775527360
915534860500667
104123302211312
11134a756670a49
12567159699214
1323ba9718a79b
141037d7079a24
15723cacedac7
hex3c007f6aef0

4123302211312 has 80 divisors (see below), whose sum is σ = 8337198385152. Its totient is φ = 1973277377280.

The previous prime is 4123302211307. The next prime is 4123302211337. The reversal of 4123302211312 is 2131122033214.

It is a super-2 number, since 2×41233022113122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 40666503 + ... + 40767769.

Almost surely, 24123302211312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123302211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168599192576).

4123302211312 is an abundant number, since it is smaller than the sum of its proper divisors (4213896173840).

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

4123302211312 is a wasteful number, since it uses less digits than its factorization.

4123302211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102206 (or 102200 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 4123302211312 its reverse (2131122033214), we get a palindrome (6254424244526).

The spelling of 4123302211312 in words is "four trillion, one hundred twenty-three billion, three hundred two million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 62 103 124 206 248 412 496 797 824 1594 1648 3188 3193 6376 6386 12752 12772 24707 25544 49414 51088 82091 98828 101267 164182 197656 202534 328364 395312 405068 656728 810136 1313456 1620272 2544821 3139277 5089642 6278554 10179284 10430501 12557108 20358568 20861002 25114216 40717136 41722004 50228432 80709799 83444008 161419598 166888016 322839196 323345531 645678392 646691062 1291356784 1293382124 2502003769 2586764248 5004007538 5173528496 8313109297 10008015076 16626218594 20016030152 33252437188 40032060304 66504874376 133009748752 257706388207 515412776414 1030825552828 2061651105656 4123302211312