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1034253120402 = 234192323362701
BaseRepresentation
bin11110000110011100100…
…10100011001110010010
310122212120212201020020000
433003032102203032102
5113421122244323102
62111043533430430
7134502520320555
oct17031622431622
93585525636200
101034253120402
11369695a18267
1214854133b416
13766b6848118
14380b569469c
151bd8396401c
hexf0ce4a3392

1034253120402 has 160 divisors (see below), whose sum is σ = 2556495976320. Its totient is φ = 311060217600.

The previous prime is 1034253120361. The next prime is 1034253120413. The reversal of 1034253120402 is 2040213524301.

1034253120402 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 253 + 1 + 2 + 0 + 402 = 666.

It is a super-2 number, since 2×10342531204022 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16463652 + ... + 16526352.

It is an arithmetic number, because the mean of its divisors is an integer number (15978099852).

Almost surely, 21034253120402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034253120402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278247988160).

1034253120402 is an abundant number, since it is smaller than the sum of its proper divisors (1522242855918).

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

1034253120402 is a wasteful number, since it uses less digits than its factorization.

1034253120402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62990 (or 62981 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1034253120402 its reverse (2040213524301), we get a palindrome (3074466644703).

The spelling of 1034253120402 in words is "one trillion, thirty-four billion, two hundred fifty-three million, one hundred twenty thousand, four hundred two".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 81 114 138 162 171 207 233 342 414 437 466 513 621 699 874 1026 1242 1311 1398 1539 1863 2097 2622 3078 3726 3933 4194 4427 5359 6291 7866 8854 10718 11799 12582 13281 16077 18873 23598 26562 32154 35397 37746 39843 48231 62701 70794 79686 96462 101821 119529 125402 144693 188103 203642 239058 289386 305463 358587 376206 434079 564309 610926 717174 868158 916389 1128618 1191319 1442123 1692927 1832778 2382638 2749167 2884246 3385854 3573957 4326369 5078781 5498334 7147914 8247501 8652738 10157562 10721871 12979107 14609333 16495002 21443742 25958214 27400337 29218666 32165613 38937321 43827999 54800674 64331226 77874642 82201011 87655998 96496839 116811963 131483997 164402022 192993678 233623926 246603033 262967994 277577327 336014659 394451991 493206066 555154654 672029318 739809099 788903982 832731981 1008043977 1183355973 1479618198 1665463962 2016087954 2219427297 2366711946 2498195943 3024131931 4438854594 4996391886 6048263862 6384278521 7494587829 9072395793 12768557042 14989175658 18144791586 19152835563 22483763487 27217187379 38305671126 44967526974 54434374758 57458506689 114917013378 172375520067 344751040134 517126560201 1034253120402