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1010141220408 = 2332313731332823
BaseRepresentation
bin11101011001100010001…
…10111100111000111000
310120120100110220210120220
432230301012330320320
5113022232123023113
62052015200020040
7132660145463205
oct16546106747070
93516313823526
101010141220408
1135a442425991
12143932301620
13743432cc988
1436c6924acac
151b421c1c523
hexeb311bce38

1010141220408 has 64 divisors (see below), whose sum is σ = 2637072253440. Its totient is φ = 321839193984.

The previous prime is 1010141220383. The next prime is 1010141220419. The reversal of 1010141220408 is 8040221410101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 91485 + ... + 1424307.

It is an arithmetic number, because the mean of its divisors is an integer number (41204253960).

Almost surely, 21010141220408 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 1010141220408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318536126720).

1010141220408 is an abundant number, since it is smaller than the sum of its proper divisors (1626931033032).

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

1010141220408 is a wasteful number, since it uses less digits than its factorization.

1010141220408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334228 (or 1334224 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 1010141220408 its reverse (8040221410101), we get a palindrome (9050362630509).

The spelling of 1010141220408 in words is "one trillion, ten billion, one hundred forty-one million, two hundred twenty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1373 2746 4119 5492 8238 10984 16476 31579 32952 63158 94737 126316 189474 252632 378948 757896 1332823 2665646 3998469 5331292 7996938 10662584 15993876 30654929 31987752 61309858 91964787 122619716 183929574 245239432 367859148 735718296 1829965979 3659931958 5489897937 7319863916 10979795874 14639727832 21959591748 42089217517 43919183496 84178435034 126267652551 168356870068 252535305102 336713740136 505070610204 1010141220408