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1123108820406 = 233163277557827
BaseRepresentation
bin10000010101111110100…
…000001001010110110110
310222100221101101110212000
4100111332200021112312
5121400111324223111
62215540555440130
7144066453313536
oct20257640112666
93870841343760
101123108820406
113a3342716881
121617baa56046
1381ba75788c1
143c5046014c6
151e334608c56
hex1057e8095b6

1123108820406 has 128 divisors (see below), whose sum is σ = 2527751784960. Its totient is φ = 369616576896.

The previous prime is 1123108820401. The next prime is 1123108820441. The reversal of 1123108820406 is 6040288013211.

1123108820406 is a `hidden beast` number, since 1 + 123 + 108 + 8 + 20 + 406 = 666.

It is a super-2 number, since 2×11231088204062 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123108820401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1358051365 + ... + 1358052191.

It is an arithmetic number, because the mean of its divisors is an integer number (19748060820).

Almost surely, 21123108820406 is an apocalyptic number.

1123108820406 is an abundant number, since it is smaller than the sum of its proper divisors (1404642964554).

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

1123108820406 is a wasteful number, since it uses less digits than its factorization.

1123108820406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1123108820406 in words is "one trillion, one hundred twenty-three billion, one hundred eight million, eight hundred twenty thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 163 277 326 489 554 557 827 831 978 1114 1467 1654 1662 1671 2481 2493 2934 3342 4401 4962 4986 5013 7443 7479 8802 10026 14886 14958 15039 22329 30078 44658 45151 90302 90791 134801 135453 154289 181582 229079 269602 270906 272373 308578 404403 406359 458158 460639 462867 544746 687237 808806 812718 817119 921278 925734 1213209 1219077 1374474 1381917 1388601 1634238 2061711 2426418 2438154 2451357 2763834 2777202 3639627 4123422 4145751 4165803 4902714 6185133 7279254 8291502 8331606 12370266 12437253 24874506 25149107 37339877 50298214 74679754 75084157 75447321 112019631 127597003 150168314 150894642 224039262 225252471 226341963 255194006 336058893 382791009 450504942 452683926 672117786 675757413 679025889 765582018 1008176679 1148373027 1351514826 1358051778 2016353358 2027272239 2296746054 3445119081 4054544478 6890238162 20798311489 41596622978 62394934467 124789868934 187184803401 374369606802 561554410203 1123108820406