Search a number
-
+
20100110202120 = 23351391914020333
BaseRepresentation
bin1001001000111111010111…
…11011011011010100001000
32122011112220020110200210110
410210133223323123110020
510113310011202431440
6110425510235114320
74143120316503234
oct444375373332410
978145806420713
1020100110202120
11644a455222673
1223076522a29a0
13b2a580899820
144d6bc9ba75c4
1524ccb3add080
hex1247ebedb508

20100110202120 has 128 divisors (see below), whose sum is σ = 65009484691200. Its totient is φ = 4942335273984.

The previous prime is 20100110202119. The next prime is 20100110202143. The reversal of 20100110202120 is 2120201100102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20100110202096 and 20100110202105.

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, 5576527 + ... + 8443806.

It is an arithmetic number, because the mean of its divisors is an integer number (507886599150).

Almost surely, 220100110202120 is an apocalyptic number.

20100110202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100110202120 is an abundant number, since it is smaller than the sum of its proper divisors (44909374489080).

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

20100110202120 is a wasteful number, since it uses less digits than its factorization.

20100110202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14021279 (or 14021275 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20100110202120 its reverse (2120201100102), we get a palindrome (22220311302222).

The spelling of 20100110202120 in words is "twenty trillion, one hundred billion, one hundred ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 919 1560 1838 2757 3676 4595 5514 7352 9190 11028 11947 13785 18380 22056 23894 27570 35841 36760 47788 55140 59735 71682 95576 110280 119470 143364 179205 238940 286728 358410 477880 716820 1433640 14020333 28040666 42060999 56081332 70101665 84121998 112162664 140203330 168243996 182264329 210304995 280406660 336487992 364528658 420609990 546792987 560813320 729057316 841219980 911321645 1093585974 1458114632 1682439960 1822643290 2187171948 2733964935 3645286580 4374343896 5467929870 7290573160 10935859740 12884686027 21871719480 25769372054 38654058081 51538744108 64423430135 77308116162 103077488216 128846860270 154616232324 167500918351 193270290405 257693720540 309232464648 335001836702 386540580810 502502755053 515387441080 670003673404 773081161620 837504591755 1005005510106 1340007346808 1546162323240 1675009183510 2010011020212 2512513775265 3350018367020 4020022040424 5025027550530 6700036734040 10050055101060 20100110202120