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2121030301212 = 22321937101829789
BaseRepresentation
bin11110110111010111010…
…000011111011000011100
321111202202020201012000200
4132313113100133120130
5234222332224114322
64302215440223500
7306145052043054
oct36672720373034
97452666635020
102121030301212
11748584345509
122a30a090ab90
13125021037a14
1474930990564
153a28d64c8ac
hex1edd741f61c

2121030301212 has 144 divisors (see below), whose sum is σ = 5853604192800. Its totient is φ = 645243148800.

The previous prime is 2121030301183. The next prime is 2121030301223.

2121030301212 is a `hidden beast` number, since 2 + 121 + 0 + 30 + 301 + 212 = 666.

2121030301212 is nontrivially palindromic in base 10.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2141214 + ... + 2971002.

Almost surely, 22121030301212 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 2121030301212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926802096400).

2121030301212 is an abundant number, since it is smaller than the sum of its proper divisors (3732573891588).

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

2121030301212 is a wasteful number, since it uses less digits than its factorization.

2121030301212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829956 (or 829951 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 2121030 and 301212, that added together give a palindrome (2422242).

The spelling of 2121030301212 in words is "two trillion, one hundred twenty-one billion, thirty million, three hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 101 111 114 148 171 202 222 228 303 333 342 404 444 606 666 684 703 909 1212 1332 1406 1818 1919 2109 2812 3636 3737 3838 4218 5757 6327 7474 7676 8436 11211 11514 12654 14948 17271 22422 23028 25308 33633 34542 44844 67266 69084 71003 134532 142006 213009 284012 426018 639027 829789 852036 1278054 1659578 2489367 2556108 3319156 4978734 7468101 9957468 14936202 15765991 29872404 30702193 31531982 47297973 61404386 63063964 83808689 92106579 94595946 122808772 141893919 167617378 184213158 189191892 251426067 276319737 283787838 335234756 368426316 502852134 552639474 567575676 583341667 754278201 1005704268 1105278948 1166683334 1508556402 1592365091 1750025001 2333366668 3017112804 3100921493 3184730182 3500050002 4777095273 5250075003 6201842986 6369460364 7000100004 9302764479 9554190546 10500150006 12403685972 14331285819 18605528958 19108381092 21000300012 27908293437 28662571638 37211057916 55816586874 57325143276 58917508367 111633173748 117835016734 176752525101 235670033468 353505050202 530257575303 707010100404 1060515150606 2121030301212