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2123413020 = 22325191933217
BaseRepresentation
bin111111010010000…
…1011011000011100
312110222120120001200
41332210023120130
513322043204040
6550412035500
7103422466341
oct17644133034
95428516050
102123413020
1199a67a6a3
124b3162b90
1327abc7911
141620227c8
15c663e630
hex7e90b61c

2123413020 has 144 divisors (see below), whose sum is σ = 6817268640. Its totient is φ = 533495808.

The previous prime is 2123412961. The next prime is 2123413043. The reversal of 2123413020 is 203143212.

2123413020 is a `hidden beast` number, since 21 + 2 + 341 + 302 + 0 = 666.

2123413020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2123412984 and 2123413002.

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, 658452 + ... + 661668.

Almost surely, 22123413020 is an apocalyptic number.

2123413020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408634320).

2123413020 is an abundant number, since it is smaller than the sum of its proper divisors (4693855620).

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

2123413020 is a wasteful number, since it uses less digits than its factorization.

2123413020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2123413020 is about 46080.5058565984. The cubic root of 2123413020 is about 1285.3206707260.

Adding to 2123413020 its reverse (203143212), we get a palindrome (2326556232).

The spelling of 2123413020 in words is "two billion, one hundred twenty-three million, four hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 193 228 285 342 380 386 570 579 684 772 855 965 1140 1158 1710 1737 1930 2316 2895 3217 3420 3474 3667 3860 5790 6434 6948 7334 8685 9651 11001 11580 12868 14668 16085 17370 18335 19302 22002 28953 32170 33003 34740 36670 38604 44004 48255 55005 57906 61123 64340 66006 73340 96510 110010 115812 122246 132012 144765 165015 183369 193020 220020 244492 289530 305615 330030 366738 550107 579060 611230 620881 660060 733476 916845 1100214 1222460 1241762 1833690 1862643 2200428 2483524 2750535 3104405 3667380 3725286 5501070 5587929 6208810 7450572 9313215 11002140 11175858 11796739 12417620 18626430 22351716 23593478 27939645 35390217 37252860 47186956 55879290 58983695 70780434 106170651 111758580 117967390 141560868 176951085 212341302 235934780 353902170 424682604 530853255 707804340 1061706510 2123413020