Search a number
-
+
101022022010 = 257131913591619
BaseRepresentation
bin101111000010101100…
…0011011100101111010
3100122202101202102212202
41132011120123211322
53123343114201020
6114224152310202
710204264006340
oct1360530334572
9318671672782
10101022022010
1139930330398
12176b40a2362
1396ac48a4b0
144c64aa1990
152963d1ae75
hex178561b97a

101022022010 has 128 divisors (see below), whose sum is σ = 225740390400. Its totient is φ = 31696231680.

The previous prime is 101022021973. The next prime is 101022022033. The reversal of 101022022010 is 10220220101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101022021982 and 101022022000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62396981 + ... + 62398599.

It is an arithmetic number, because the mean of its divisors is an integer number (1763596800).

Almost surely, 2101022022010 is an apocalyptic number.

101022022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101022022010 is an abundant number, since it is smaller than the sum of its proper divisors (124718368390).

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

101022022010 is a wasteful number, since it uses less digits than its factorization.

101022022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101022022010 its reverse (10220220101), we get a palindrome (111242242111).

The spelling of 101022022010 in words is "one hundred one billion, twenty-two million, twenty-two thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 191 359 382 455 718 910 955 1337 1619 1795 1910 2483 2513 2674 3238 3590 4667 4966 5026 6685 8095 9334 11333 12415 12565 13370 16190 17381 21047 22666 23335 24830 25130 32669 34762 42094 46670 56665 65338 68569 86905 105235 113330 137138 147329 163345 173810 210470 294658 309229 326690 342845 479983 581221 618458 685690 736645 891397 959966 1162442 1473290 1546145 1782794 2164603 2399915 2906105 3092290 4019977 4068547 4329206 4456985 4799830 5812210 6239779 7555873 8039954 8137094 8913970 10823015 12479558 15111746 20099885 20342735 21646030 28139839 31198895 37779365 40199770 40685470 52891111 56279678 62397790 75558730 105782222 111013211 140699195 222026422 264455555 281398390 528911110 555066055 777092477 1110132110 1443171743 1554184954 2886343486 3885462385 7215858715 7770924770 10102202201 14431717430 20204404402 50511011005 101022022010