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122030211233133 = 357735521178001
BaseRepresentation
bin11011101111110001011111…
…011001000111010101101101
3121000001222022020101112200000
4123233301133121013111231
5111443320333033430013
61111311523301254513
734463251252012140
oct3357613731072555
9530058266345600
10122030211233133
11359787a3a13665
121182a332a04439
135312526a44348
14221c418032057
15e19444a84973
hex6efc5f64756d

122030211233133 has 96 divisors (see below), whose sum is σ = 211808982857472. Its totient is φ = 68763479040000.

The previous prime is 122030211233131. The next prime is 122030211233141. The reversal of 122030211233133 is 331332112030221.

122030211233133 is a `hidden beast` number, since 1 + 2 + 20 + 302 + 1 + 1 + 2 + 331 + 3 + 3 = 666.

It is not a de Polignac number, because 122030211233133 - 21 = 122030211233131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122030211233097 and 122030211233106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122030211233131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 685470133 + ... + 685648133.

It is an arithmetic number, because the mean of its divisors is an integer number (2206343571432).

Almost surely, 2122030211233133 is an apocalyptic number.

It is an amenable number.

122030211233133 is a deficient number, since it is larger than the sum of its proper divisors (89778771624339).

122030211233133 is an equidigital number, since it uses as much as digits as its factorization.

122030211233133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183617 (or 183605 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122030211233133 its reverse (331332112030221), we get a palindrome (453362323263354).

The spelling of 122030211233133 in words is "one hundred twenty-two trillion, thirty billion, two hundred eleven million, two hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 73 81 189 219 243 511 567 657 1533 1701 1971 4599 5521 5913 13797 16563 17739 38647 41391 49689 115941 124173 149067 178001 347823 403033 447201 534003 1043469 1209099 1246007 1341603 1602009 2821231 3130407 3627297 3738021 4806027 8463693 9391221 10881891 11214063 12994073 14418081 25391079 32645673 33642189 38982219 43254243 76173237 90958511 97937019 100926567 116946657 228519711 272875533 302779701 350839971 685559133 818626599 982743521 1052519913 2455879797 2948230563 3157559739 6879204647 7367639391 8844691689 20637613941 22102918173 26534075067 61912841823 71740277033 79602225201 185738525469 215220831099 238806675603 502181939231 557215576407 645662493297 1506545817693 1671646729221 1936987479891 4519637453079 5810962439673 13558912359237 17432887319019 40676737077711 122030211233133