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11001000100020 = 22357257101917733
BaseRepresentation
bin1010000000010101111010…
…1101000000000010110100
31102221200111121112000121220
42200011132231000002310
52420220022011200040
635221442323110340
72213540015661660
oct240053655000264
942850447460556
1011001000100020
113561552840957
1212980988123b0
1361a50b697908
142a064630b8a0
151412643aa2d0
hexa015eb400b4

11001000100020 has 96 divisors (see below), whose sum is σ = 35340178099968. Its totient is φ = 2504730181632.

The previous prime is 11001000100009. The next prime is 11001000100049. The reversal of 11001000100020 is 2000100010011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 11001000099981 and 11001000100008.

It is a congruent number.

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, 50850927 + ... + 51066806.

It is an arithmetic number, because the mean of its divisors is an integer number (368126855208).

Almost surely, 211001000100020 is an apocalyptic number.

11001000100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001000100020 is an abundant number, since it is smaller than the sum of its proper divisors (24339177999948).

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

11001000100020 is a wasteful number, since it uses less digits than its factorization.

11001000100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101918009 (or 101918007 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11001000100020 its reverse (2000100010011), we get a palindrome (13001100110031).

Subtracting from 11001000100020 its reverse (2000100010011), we obtain a palindrome (9000900090009).

The spelling of 11001000100020 in words is "eleven trillion, one billion, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 257 420 514 771 1028 1285 1542 1799 2570 3084 3598 3855 5140 5397 7196 7710 8995 10794 15420 17990 21588 26985 35980 53970 107940 101917733 203835466 305753199 407670932 509588665 611506398 713424131 1019177330 1223012796 1426848262 1528765995 2038354660 2140272393 2853696524 3057531990 3567120655 4280544786 6115063980 7134241310 8561089572 10701361965 14268482620 21402723930 26192857381 42805447860 52385714762 78578572143 104771429524 130964286905 157157144286 183350001667 261928573810 314314288572 366700003334 392892860715 523857147620 550050005001 733400006668 785785721430 916750008335 1100100010002 1571571442860 1833500016670 2200200020004 2750250025005 3667000033340 5500500050010 11001000100020