Search a number
-
+
1010052212040 = 2332521701129289
BaseRepresentation
bin11101011001010111100…
…11011010010101001000
310120120010021102201001200
432230223303122111020
5113022041331241130
62052002300144200
7132655015100454
oct16545363322510
93516107381050
101010052212040
1135a3a7161653
12143908538060
137432aa371c1
1436c5b4bb664
151b418ed9760
hexeb2bcda548

1010052212040 has 96 divisors (see below), whose sum is σ = 3282846348600. Its totient is φ = 269332761600.

The previous prime is 1010052212027. The next prime is 1010052212069. The reversal of 1010052212040 is 402122500101.

1010052212040 is a `hidden beast` number, since 1 + 0 + 100 + 522 + 1 + 2 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 975104900676 + 34947311364 = 987474^2 + 186942^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7747716 + ... + 7877004.

Almost surely, 21010052212040 is an apocalyptic number.

1010052212040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010052212040 is an abundant number, since it is smaller than the sum of its proper divisors (2272794136560).

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

1010052212040 is a wasteful number, since it uses less digits than its factorization.

1010052212040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151007 (or 151000 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 1010052212040 its reverse (402122500101), we get a palindrome (1412174712141).

The spelling of 1010052212040 in words is "one trillion, ten billion, fifty-two million, two hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 21701 43402 65103 86804 108505 129289 130206 173608 195309 217010 258578 260412 325515 387867 390618 434020 517156 520824 646445 651030 775734 781236 868040 976545 1034312 1163601 1292890 1302060 1551468 1562472 1939335 1953090 2327202 2585780 2604120 3102936 3878670 3906180 4654404 5171560 5818005 7757340 7812360 9308808 11636010 15514680 23272020 46544040 2805700589 5611401178 8417101767 11222802356 14028502945 16834203534 22445604712 25251305301 28057005890 33668407068 42085508835 50502610602 56114011780 67336814136 84171017670 101005221204 112228023560 126256526505 168342035340 202010442408 252513053010 336684070680 505026106020 1010052212040