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1022013130212 = 223419347478441
BaseRepresentation
bin11101101111101001011…
…10101100010111100100
310121200222212000022020000
432313310232230113210
5113221040330131322
62101301212141300
7133560303162144
oct16676456542744
93550885008200
101022013130212
1136448484a498
121460a6167830
13754b5a67089
1437673c44924
151b8b90da3ac
hexedf4bac5e4

1022013130212 has 120 divisors (see below), whose sum is σ = 2820473003040. Its totient is φ = 321810226560.

The previous prime is 1022013130163. The next prime is 1022013130217. The reversal of 1022013130212 is 2120313102201.

1022013130212 is a `hidden beast` number, since 1 + 0 + 220 + 131 + 302 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1022013130217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1896912 + ... + 2375352.

It is an arithmetic number, because the mean of its divisors is an integer number (23503941692).

Almost surely, 21022013130212 is an apocalyptic number.

1022013130212 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 1022013130212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410236501520).

1022013130212 is an abundant number, since it is smaller than the sum of its proper divisors (1798459872828).

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

1022013130212 is a wasteful number, since it uses less digits than its factorization.

1022013130212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478823 (or 478812 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1022013130212 its reverse (2120313102201), we get a palindrome (3142326232413).

The spelling of 1022013130212 in words is "one trillion, twenty-two billion, thirteen million, one hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 347 513 684 694 1026 1041 1388 1539 2052 2082 3078 3123 4164 6156 6246 6593 9369 12492 13186 18738 19779 26372 28107 37476 39558 56214 59337 79116 112428 118674 178011 237348 356022 478441 534033 712044 956882 1068066 1435323 1913764 2136132 2870646 4305969 5741292 8611938 9090379 12917907 17223876 18180758 25835814 27271137 36361516 38753721 51671628 54542274 77507442 81813411 109084548 155014884 163626822 166019027 245440233 327253644 332038054 490880466 498057081 664076108 736320699 981760932 996114162 1472641398 1494171243 1992228324 2945282796 2988342486 3154361513 4482513729 5976684972 6308723026 8965027458 9463084539 12617446052 13447541187 17930054916 18926169078 26895082374 28389253617 37852338156 53790164748 56778507234 85167760851 113557014468 170335521702 255503282553 340671043404 511006565106 1022013130212