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122101331604 = 22372379799993
BaseRepresentation
bin111000110110111001…
…1100111011010010100
3102200011110012022112220
41301231303213122110
54000030420102404
6132031555142340
711551533123420
oct1615563473224
9380143168486
10122101331604
114786802270a
121b7b75a49b0
13b68b650355
145ca445bb80
1532996d24d9
hex1c6dce7694

122101331604 has 96 divisors (see below), whose sum is σ = 344061419520. Its totient is φ = 32946870528.

The previous prime is 122101331603. The next prime is 122101331617. The reversal of 122101331604 is 406133101221.

It is a happy number.

122101331604 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101331603) 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, 247369 + ... + 552624.

It is an arithmetic number, because the mean of its divisors is an integer number (3583973120).

Almost surely, 2122101331604 is an apocalyptic number.

122101331604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122101331604 is an abundant number, since it is smaller than the sum of its proper divisors (221960087916).

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

122101331604 is a wasteful number, since it uses less digits than its factorization.

122101331604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800109 (or 800107 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 122101331604 its reverse (406133101221), we get a palindrome (528234432825).

The spelling of 122101331604 in words is "one hundred twenty-two billion, one hundred one million, three hundred thirty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 79 84 92 138 158 161 237 276 316 322 474 483 553 644 948 966 1106 1659 1817 1932 2212 3318 3634 5451 6636 7268 10902 12719 21804 25438 38157 50876 76314 152628 799993 1599986 2399979 3199972 4799958 5599951 9599916 11199902 16799853 18399839 22399804 33599706 36799678 55199517 63199447 67199412 73599356 110399034 126398894 128798873 189598341 220798068 252797788 257597746 379196682 386396619 442396129 515195492 758393364 772793238 884792258 1327188387 1453587281 1545586476 1769584516 2654376774 2907174562 4360761843 5308753548 5814349124 8721523686 10175110967 17443047372 20350221934 30525332901 40700443868 61050665802 122101331604