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11101210002072 = 23323671151365003
BaseRepresentation
bin1010000110001011001110…
…1011011100001010011000
31110022021011102010111100200
42201202303223130022120
52423340234230031242
635335454145102200
72224015222045551
oct241426353341230
943267142114320
1011101210002072
11359aaa6702523
1212b35a4927960
13626abb81a748
142a54311ab328
15143b7bc5804c
hexa18b3adc298

11101210002072 has 96 divisors (see below), whose sum is σ = 30173975470080. Its totient is φ = 3687104203200.

The previous prime is 11101210002067. The next prime is 11101210002073. The reversal of 11101210002072 is 27020001210111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101210002073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30231523 + ... + 30596525.

It is an arithmetic number, because the mean of its divisors is an integer number (314312244480).

Almost surely, 211101210002072 is an apocalyptic number.

11101210002072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11101210002072 is an abundant number, since it is smaller than the sum of its proper divisors (19072765468008).

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

11101210002072 is a wasteful number, since it uses less digits than its factorization.

11101210002072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366533 (or 366526 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 11101210002072 its reverse (27020001210111), we get a palindrome (38121211212183).

The spelling of 11101210002072 in words is "eleven trillion, one hundred one billion, two hundred ten million, two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 367 734 1101 1151 1468 2202 2302 2936 3303 3453 4404 4604 6606 6906 8808 9208 10359 13212 13812 20718 26424 27624 41436 82872 365003 422417 730006 844834 1095009 1267251 1460012 1689668 2190018 2534502 2920024 3285027 3379336 3801753 4380036 5069004 6570054 7603506 8760072 10138008 13140108 15207012 26280216 30414024 133956101 267912202 401868303 420118453 535824404 803736606 840236906 1071648808 1205604909 1260355359 1607473212 1680473812 2411209818 2520710718 3214946424 3360947624 3781066077 4822419636 5041421436 7562132154 9644839272 10082842872 15124264308 30248528616 154183472251 308366944502 462550416753 616733889004 925100833506 1233467778008 1387651250259 1850201667012 2775302500518 3700403334024 5550605001036 11101210002072