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21142033020 = 22335192060627
BaseRepresentation
bin10011101100001010…
…011101001001111100
32000120102110120001000
4103230022131021330
5321244330024040
613413523050300
71345630213143
oct235412351174
960512416030
1021142033020
118a6a143369
124120510990
131cbc184614
141047c4675a
1583b156130
hex4ec29d27c

21142033020 has 96 divisors (see below), whose sum is σ = 69237100800. Its totient is φ = 5341142592.

The previous prime is 21142033013. The next prime is 21142033049. The reversal of 21142033020 is 2033024112.

21142033020 is a `hidden beast` number, since 211 + 420 + 3 + 30 + 2 + 0 = 666.

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 = 21142032984 and 21142033002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020054 + ... + 1040573.

It is an arithmetic number, because the mean of its divisors is an integer number (721219800).

Almost surely, 221142033020 is an apocalyptic number.

21142033020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21142033020 is an abundant number, since it is smaller than the sum of its proper divisors (48095067780).

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

21142033020 is a wasteful number, since it uses less digits than its factorization.

21142033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060664 (or 2060656 counting only the distinct ones).

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

Adding to 21142033020 its reverse (2033024112), we get a palindrome (23175057132).

The spelling of 21142033020 in words is "twenty-one billion, one hundred forty-two million, thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 2060627 4121254 6181881 8242508 10303135 12363762 18545643 20606270 24727524 30909405 37091286 39151913 41212540 55636929 61818810 74182572 78303826 92728215 111273858 117455739 123637620 156607652 185456430 195759565 222547716 234911478 278184645 352367217 370912860 391519130 469822956 556369290 587278695 704734434 783038260 1057101651 1112738580 1174557390 1409468868 1761836085 2114203302 2349114780 3523672170 4228406604 5285508255 7047344340 10571016510 21142033020