Search a number
-
+
11210020020 = 22325436123743
BaseRepresentation
bin10100111000010101…
…10101010010110100
31001221020122000112200
422130022311102310
5140424231120040
65052205344500
7544536412053
oct123412652264
931836560480
1011210020020
114832844a61
12220a268130
1310985ac654
14784b4039a
15459227630
hex29c2b54b4

11210020020 has 144 divisors (see below), whose sum is σ = 35366403072. Its totient is φ = 2871832320.

The previous prime is 11210019971. The next prime is 11210020033. The reversal of 11210020020 is 2002001211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11210019984 and 11210020011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460269 + ... + 484011.

Almost surely, 211210020020 is an apocalyptic number.

11210020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683201536).

11210020020 is an abundant number, since it is smaller than the sum of its proper divisors (24156383052).

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

11210020020 is a wasteful number, since it uses less digits than its factorization.

11210020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23862 (or 23857 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11210020020 its reverse (2002001211), we get a palindrome (13212021231).

The spelling of 11210020020 in words is "eleven billion, two hundred ten million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 61 86 90 122 129 172 180 183 215 244 258 305 366 387 430 516 549 610 645 732 774 860 915 1098 1220 1290 1548 1830 1935 2196 2580 2623 2745 3660 3870 5246 5490 7740 7869 10492 10980 13115 15738 23607 23743 26230 31476 39345 47214 47486 52460 71229 78690 94428 94972 118035 118715 142458 157380 213687 236070 237430 284916 356145 427374 472140 474860 712290 854748 1020949 1068435 1424580 1448323 2041898 2136870 2896646 3062847 4083796 4273740 4344969 5104745 5793292 6125694 7241615 8689938 9188541 10209490 12251388 13034907 14483230 15314235 17379876 18377082 20418980 21724845 26069814 28966460 30628470 36754164 43449690 45942705 52139628 61256940 62277889 65174535 86899380 91885410 124555778 130349070 183770820 186833667 249111556 260698140 311389445 373667334 560501001 622778890 747334668 934168335 1121002002 1245557780 1868336670 2242004004 2802505005 3736673340 5605010010 11210020020