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102133411430424 = 233114633407245251
BaseRepresentation
bin10111001110001111001001…
…101101010100000000011000
3111101121212012001022020122120
4113032033021231110000120
5101341323211311233144
61001115235205421240
730340616101120053
oct2716171155240030
9441555161266576
10102133411430424
112a5a759a15a280
12b556180a0a820
1344cb1a727a60a
141b313d7c71a9a
15bc1aced74e19
hex5ce3c9b54018

102133411430424 has 128 divisors (see below), whose sum is σ = 279230350049280. Its totient is φ = 30873482640000.

The previous prime is 102133411430353. The next prime is 102133411430447. The reversal of 102133411430424 is 424034114331201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416321799 + ... + 416567049.

It is an arithmetic number, because the mean of its divisors is an integer number (2181487109760).

Almost surely, 2102133411430424 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 102133411430424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139615175024640).

102133411430424 is an abundant number, since it is smaller than the sum of its proper divisors (177096938618856).

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

102133411430424 is a wasteful number, since it uses less digits than its factorization.

102133411430424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249141 (or 249137 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 102133411430424 its reverse (424034114331201), we get a palindrome (526167525761625).

The spelling of 102133411430424 in words is "one hundred two trillion, one hundred thirty-three billion, four hundred eleven million, four hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 463 926 1389 1852 2778 3407 3704 5093 5556 6814 10186 10221 11112 13628 15279 20372 20442 27256 30558 37477 40744 40884 61116 74954 81768 112431 122232 149908 224862 245251 299816 449724 490502 735753 899448 981004 1471506 1577441 1962008 2697761 2943012 3154882 4732323 5395522 5886024 6309764 8093283 9464646 10791044 12619528 16186566 17351851 18929292 21582088 32373132 34703702 37858584 52055553 64746264 69407404 104111106 113551213 138814808 208222212 227102426 340653639 416444424 454204852 681307278 835570157 908409704 1249063343 1362614556 1671140314 2498126686 2506710471 2725229112 3342280628 3747190029 4996253372 5013420942 6684561256 7494380058 9191271727 9992506744 10026841884 14988760116 18382543454 20053683768 27573815181 29977520232 36765086908 55147630362 73530173816 110295260724 220590521448 386868982691 773737965382 1160606948073 1547475930764 2321213896146 3094951861528 4255558809601 4642427792292 8511117619202 9284855584584 12766676428803 17022235238404 25533352857606 34044470476808 51066705715212 102133411430424