Search a number
-
+
1100001100020 = 2235172371714519
BaseRepresentation
bin10000000000011101001…
…011001100000011110100
310220011021222010122200020
4100000131023030003310
5121010300240200040
62201200013045140
7142321024035414
oct20003513140364
93804258118606
101100001100020
11394564a424a9
121592301867b0
137c9640a1b84
143b3516b2644
151d930b1bcd0
hex1001d2cc0f4

1100001100020 has 144 divisors (see below), whose sum is σ = 3360267173760. Its totient is φ = 268616964096.

The previous prime is 1100001099973. The next prime is 1100001100021. The reversal of 1100001100020 is 200011000011.

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 = 1100001099981 and 1100001100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100001100021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215680 + ... + 1498839.

Almost surely, 21100001100020 is an apocalyptic number.

1100001100020 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 1100001100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680133586880).

1100001100020 is an abundant number, since it is smaller than the sum of its proper divisors (2260266073740).

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

1100001100020 is a wasteful number, since it uses less digits than its factorization.

1100001100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714602 (or 1714583 counting only the distinct ones).

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

Adding to 1100001100020 its reverse (200011000011), we get a palindrome (1300012100031).

It can be divided in two parts, 1100001 and 100020, that added together give a palindrome (1200021).

The spelling of 1100001100020 in words is "one trillion, one hundred billion, one million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 289 340 370 444 510 555 578 629 740 867 1020 1110 1156 1258 1445 1734 1887 2220 2516 2890 3145 3468 3774 4335 5780 6290 7548 8670 9435 10693 12580 17340 18870 21386 32079 37740 42772 53465 64158 106930 128316 160395 213860 320790 641580 1714519 3429038 5143557 6858076 8572595 10287114 17145190 20574228 25717785 29146823 34290380 51435570 58293646 63437203 87440469 102871140 116587292 126874406 145734115 174880938 190311609 253748812 291468230 317186015 349761876 380623218 437202345 495495991 582936460 634372030 761246436 874404690 951558045 990991982 1078432451 1268744060 1486487973 1748809380 1903116090 1981983964 2156864902 2477479955 2972975946 3235297353 3806232180 4313729804 4954959910 5392162255 5945951892 6470594706 7432439865 9909919820 10784324510 12941189412 14864879730 16176486765 18333351667 21568649020 29729759460 32352973530 36666703334 55000055001 64705947060 73333406668 91666758335 110000110002 183333516670 220000220004 275000275005 366667033340 550000550010 1100001100020