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10422131300032 = 2631269119316369
BaseRepresentation
bin1001011110101001011101…
…1011110001011011000000
31100220100100020202011002011
42113222113123301123000
52331224011103100112
634055505551502304
72123655062241034
oct227522733613300
940810306664064
1010422131300032
113359001461721
121203a66827994
135a7a5889ac6a
142806106901c4
15131184753aa7
hex97a976f16c0

10422131300032 has 112 divisors (see below), whose sum is σ = 21447193478400. Its totient is φ = 5019701575680.

The previous prime is 10422131300011. The next prime is 10422131300089. The reversal of 10422131300032 is 23000313122401.

It is a junction number, because it is equal to n+sod(n) for n = 10422131299976 and 10422131300012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636691144 + ... + 636707512.

Almost surely, 210422131300032 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 10422131300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10723596739200).

10422131300032 is an abundant number, since it is smaller than the sum of its proper divisors (11025062178368).

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

10422131300032 is a wasteful number, since it uses less digits than its factorization.

10422131300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17874 (or 17864 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10422131300032 its reverse (23000313122401), we get a palindrome (33422444422433).

The spelling of 10422131300032 in words is "ten trillion, four hundred twenty-two billion, one hundred thirty-one million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 269 496 538 992 1076 1193 1984 2152 2386 4304 4772 8339 8608 9544 16369 16678 17216 19088 32738 33356 36983 38176 65476 66712 73966 76352 130952 133424 147932 261904 266848 295864 320917 507439 523808 533696 591728 641834 1014878 1047616 1183456 1283668 2029756 2366912 2567336 4059512 4403261 5134672 8119024 8806522 9948427 10269344 16238048 17613044 19528217 19896854 20538688 32476096 35226088 39056434 39793708 70452176 78112868 79587416 136501091 140904352 156225736 159174832 273002182 281808704 312451472 318349664 546004364 605374727 624902944 636699328 1092008728 1210749454 1249805888 2184017456 2421498908 4368034912 4842997816 5253090373 8736069824 9685995632 10506180746 19371991264 21012361492 38743982528 42024722984 84049445968 162845801563 168098891936 325691603126 336197783872 651383206252 1302766412504 2605532825008 5211065650016 10422131300032