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2212120101132 = 2233731631721371
BaseRepresentation
bin100000001100001100101…
…000100000000100001100
321211110212110020110121000
4200030030220200010030
5242220410221214012
64412122310540300
7315551253420624
oct40141450400414
97743773213530
102212120101132
11783178144397
122b8882667690
131307a9879006
14790d24d3884
153c8204e7ddc
hex2030ca2010c

2212120101132 has 96 divisors (see below), whose sum is σ = 5849359765760. Its totient is φ = 722810148480.

The previous prime is 2212120101131. The next prime is 2212120101173. The reversal of 2212120101132 is 2311010212122.

2212120101132 is a `hidden beast` number, since 221 + 212 + 0 + 101 + 132 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2212120101131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424407 + ... + 2145777.

Almost surely, 22212120101132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212120101132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924679882880).

2212120101132 is an abundant number, since it is smaller than the sum of its proper divisors (3637239664628).

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

2212120101132 is a wasteful number, since it uses less digits than its factorization.

2212120101132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721620 (or 1721612 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2212120101132 its reverse (2311010212122), we get a palindrome (4523130313254).

The spelling of 2212120101132 in words is "two trillion, two hundred twelve billion, one hundred twenty million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 163 219 292 326 438 489 652 657 876 978 1314 1467 1956 1971 2628 2934 3942 4401 5868 7884 8802 11899 17604 23798 35697 47596 71394 107091 142788 214182 321273 428364 642546 1285092 1721371 3442742 5164113 6885484 10328226 15492339 20656452 30984678 46477017 61969356 92954034 125660083 185908068 251320166 280583473 376980249 502640332 561166946 753960498 841750419 1122333892 1130940747 1507920996 1683500838 2261881494 2525251257 3367001676 3392822241 4523762988 5050502514 6785644482 7575753771 10101005028 13571288964 15151507542 20482593529 30303015084 40965187058 61447780587 81930374116 122895561174 184343341761 245791122348 368686683522 553030025283 737373367044 1106060050566 2212120101132