Search a number
-
+
1010140212024 = 2332171300963439
BaseRepresentation
bin11101011001100010000…
…11000110101100111000
310120120100102000120100100
432230301003012230320
5113022231343241044
62052015122235400
7132660134063256
oct16546103065470
93516312016310
101010140212024
1135a4418a7309
12143931ab5b60
13743430389b8
1436c690675d6
151b421abd869
hexeb310c6b38

1010140212024 has 96 divisors (see below), whose sum is σ = 2896993944000. Its totient is φ = 316877377536.

The previous prime is 1010140211989. The next prime is 1010140212071. The reversal of 1010140212024 is 4202120410101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1010140211988 and 1010140212006.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15891297 + ... + 15954735.

It is an arithmetic number, because the mean of its divisors is an integer number (30177020250).

Almost surely, 21010140212024 is an apocalyptic number.

It is an amenable number.

1010140212024 is an abundant number, since it is smaller than the sum of its proper divisors (1886853731976).

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

1010140212024 is a wasteful number, since it uses less digits than its factorization.

1010140212024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76477 (or 76470 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1010140212024 its reverse (4202120410101), we get a palindrome (5212260622125).

The spelling of 1010140212024 in words is "one trillion, ten billion, one hundred forty million, two hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 13009 26018 39027 52036 63439 78054 104072 117081 126878 156108 190317 221153 234162 253756 312216 380634 442306 468324 507512 570951 663459 761268 884612 936648 1078463 1141902 1326918 1522536 1769224 1990377 2156926 2283804 2653836 3235389 3980754 4313852 4567608 5307672 6470778 7961508 8627704 9706167 12941556 15923016 19412334 25883112 38824668 77649336 825277951 1650555902 2475833853 3301111804 4951667706 6602223608 7427501559 9903335412 14029725167 14855003118 19806670824 28059450334 29710006236 42089175501 56118900668 59420012472 84178351002 112237801336 126267526503 168356702004 252535053006 336713404008 505070106012 1010140212024