Search a number
-
+
10221010041042 = 2337125110621063
BaseRepresentation
bin1001010010111100001110…
…1011000011100011010010
31100012010012202121121102000
42110233003223003203102
52314430112032303132
633423244525134430
72103305104606263
oct224570353034322
940163182547360
1010221010041042
113290784785aa9
121190a976ba416
13591ab6196938
142749b16d896a
1512ad12b4987c
hex94bc3ac38d2

10221010041042 has 64 divisors (see below), whose sum is σ = 23125030225920. Its totient is φ = 3345634530000.

The previous prime is 10221010041031. The next prime is 10221010041059. The reversal of 10221010041042 is 24014001012201.

10221010041042 is a `hidden beast` number, since 1 + 0 + 2 + 210 + 1 + 0 + 0 + 410 + 42 = 666.

It is a super-3 number, since 3×102210100410423 (a number of 40 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 4348198 + ... + 6272865.

It is an arithmetic number, because the mean of its divisors is an integer number (361328597280).

Almost surely, 210221010041042 is an apocalyptic number.

10221010041042 is an abundant number, since it is smaller than the sum of its proper divisors (12904020184878).

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

10221010041042 is a wasteful number, since it uses less digits than its factorization.

10221010041042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10621396 (or 10621390 counting only the distinct ones).

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

Adding to 10221010041042 its reverse (24014001012201), we get a palindrome (34235011053243).

The spelling of 10221010041042 in words is "ten trillion, two hundred twenty-one billion, ten million, forty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 251 426 502 639 753 1278 1506 1917 2259 3834 4518 6777 13554 17821 35642 53463 106926 160389 320778 481167 962334 10621063 21242126 31863189 63726378 95589567 191179134 286768701 573537402 754095473 1508190946 2262286419 2665886813 4524572838 5331773626 6786859257 7997660439 13573718514 15995320878 20360577771 23992981317 40721155542 47985962634 71978943951 143957887902 189277963723 378555927446 567833891169 1135667782338 1703501673507 3407003347014 5110505020521 10221010041042