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11101112120020 = 22513431977750207
BaseRepresentation
bin1010000110001010110111…
…0110000011001011010100
31110022020220120221120102111
42201202231312003023110
52423340034200320040
635335440331120404
72224012623054256
oct241425566031324
943266816846374
1011101112120020
11359aa5642826a
1212b3577ba3104
13626aa4468c80
142a54221abcd6
15143b73370dea
hexa18add832d4

11101112120020 has 96 divisors (see below), whose sum is σ = 25691253654528. Its totient is φ = 4003267387392.

The previous prime is 11101112120017. The next prime is 11101112120023. The reversal of 11101112120020 is 2002121110111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11101112120017) and next prime (11101112120023).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101112120023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221081757 + ... + 221131963.

It is an arithmetic number, because the mean of its divisors is an integer number (267617225568).

Almost surely, 211101112120020 is an apocalyptic number.

11101112120020 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 11101112120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12845626827264).

11101112120020 is an abundant number, since it is smaller than the sum of its proper divisors (14590141534508).

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

11101112120020 is a wasteful number, since it uses less digits than its factorization.

11101112120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70049 (or 70047 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11101112120020 its reverse (2002121110111), we get a palindrome (13103233230131).

The spelling of 11101112120020 in words is "eleven trillion, one hundred one billion, one hundred twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2795 5590 11180 19777 39554 50207 79108 98885 100414 197770 200828 251035 257101 395540 502070 514202 652691 850411 1004140 1028404 1285505 1305382 1700822 2158901 2571010 2610764 3263455 3401644 4252055 4317802 5142020 6526910 8504110 8635604 10794505 11055343 13053820 17008220 21589010 22110686 28065713 43178020 44221372 55276715 56131426 110553430 112262852 140328565 221106860 280657130 561314260 992943839 1985887678 3971775356 4964719195 9929438390 12908269907 19858876780 25816539814 42696585077 51633079628 64541349535 85393170154 129082699070 170786340308 213482925385 258165398140 426965850770 555055606001 853931701540 1110111212002 2220222424004 2775278030005 5550556060010 11101112120020