Search a number
-
+
11044411214100 = 22352115337762701
BaseRepresentation
bin1010000010110111101000…
…1101010000100100010100
31110002211120000012002221220
42200231322031100210110
52421422423232322400
635253422114010340
72216634543236535
oct240557215204424
943084500162856
1011044411214100
1135789aa226440
1212a4592b769b0
13621639364974
142a27a393a68c
151424555927a0
hexa0b7a350914

11044411214100 has 144 divisors (see below), whose sum is σ = 34861387020096. Its totient is φ = 2677340160000.

The previous prime is 11044411214071. The next prime is 11044411214141. The reversal of 11044411214100 is 141211444011.

It is a super-2 number, since 2×110444112141002 (a number of 27 digits) contains 22 as substring.

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, 176112750 + ... + 176175450.

Almost surely, 211044411214100 is an apocalyptic number.

11044411214100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11044411214100 is an abundant number, since it is smaller than the sum of its proper divisors (23816975805996).

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

11044411214100 is a wasteful number, since it uses less digits than its factorization.

11044411214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116106 (or 116099 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 11044411214100 its reverse (141211444011), we get a palindrome (11185622658111).

The spelling of 11044411214100 in words is "eleven trillion, forty-four billion, four hundred eleven million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 53377 62701 106754 125402 160131 188103 213508 250804 266885 313505 320262 376206 533770 587147 627010 640524 689711 752412 800655 940515 1067540 1174294 1254020 1334425 1379422 1567525 1601310 1761441 1881030 2069133 2348588 2668850 2758844 2935735 3135050 3202620 3448555 3522882 3762060 4003275 4138266 4702575 5337700 5871470 6270100 6897110 7045764 8006550 8276532 8807205 9405150 10345665 11742940 13794220 14678675 16013100 17242775 17614410 18810300 20691330 29357350 34485550 35228820 41382660 44036025 51728325 58714700 68971100 88072050 103456650 176144100 206913300 3346791277 6693582554 10040373831 13387165108 16733956385 20080747662 33467912770 36814704047 40161495324 50201869155 66935825540 73629408094 83669781925 100403738310 110444112141 147258816188 167339563850 184073520235 200807476620 220888224282 251009345775 334679127700 368147040470 441776448564 502018691550 552220560705 736294080940 920367601175 1004037383100 1104441121410 1840735202350 2208882242820 2761102803525 3681470404700 5522205607050 11044411214100