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122003212331 = 71121321994283
BaseRepresentation
bin111000110011111110…
…1010100100000101011
3102122220121120100012202
41301213331110200223
53444330310243311
6132014132130415
711546232123410
oct1614775244053
9378817510182
10122003212331
11478176a6200
121b78a766a0b
13b674217900
145c953da107
153290c9ee3b
hex1c67f5482b

122003212331 has 72 divisors (see below), whose sum is σ = 166829241600. Its totient is φ = 87293194560.

The previous prime is 122003212327. The next prime is 122003212349. The reversal of 122003212331 is 133212300221.

It is not a de Polignac number, because 122003212331 - 22 = 122003212327 is a prime.

It is a super-2 number, since 2×1220032123312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122003212381) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28483316 + ... + 28487598.

It is an arithmetic number, because the mean of its divisors is an integer number (2317072800).

Almost surely, 2122003212331 is an apocalyptic number.

122003212331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122003212331 is a deficient number, since it is larger than the sum of its proper divisors (44826029269).

122003212331 is a wasteful number, since it uses less digits than its factorization.

122003212331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 122003212331 its reverse (133212300221), we get a palindrome (255215512552).

The spelling of 122003212331 in words is "one hundred twenty-two billion, three million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 7 11 13 77 91 121 143 169 199 847 1001 1183 1393 1573 1859 2189 2587 4283 11011 13013 15323 18109 20449 24079 28457 29981 33631 47113 55679 143143 168553 199199 235417 313027 329791 369941 389753 518243 612469 723827 852317 2191189 2589587 3627701 4069351 4287283 5066789 5966219 6737159 7962097 9375487 11080121 28485457 47160113 55734679 65628409 77560847 87583067 103130357 121881331 144041573 613081469 721912499 853169317 1008291011 1340694641 1584457303 9384862487 11091201121 17429030333 122003212331