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21142033231000 = 2353114394378139
BaseRepresentation
bin1001100111010100000110…
…11000010110110010011000
32202212011021122110122110211
410303222003120112302120
510232342341001343000
6112544303241420504
74311314202225253
oct463520330266230
982764248418424
1021142033231000
116811316650670
12245557419a734
13ba48ba452416
145313cbd5c09a
15269e45a977ba
hex133a83616c98

21142033231000 has 128 divisors (see below), whose sum is σ = 54092795328000. Its totient is φ = 7670497776000.

The previous prime is 21142033230971. The next prime is 21142033231001. The reversal of 21142033231000 is 13233024112.

It is a super-2 number, since 2×211420332310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142033231001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2639931 + ... + 7018069.

It is an arithmetic number, because the mean of its divisors is an integer number (422599963500).

Almost surely, 221142033231000 is an apocalyptic number.

21142033231000 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 21142033231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27046397664000).

21142033231000 is an abundant number, since it is smaller than the sum of its proper divisors (32950762097000).

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

21142033231000 is a wasteful number, since it uses less digits than its factorization.

21142033231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378610 (or 4378596 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 21142033231000 its reverse (13233024112), we get a palindrome (21155266255112).

The spelling of 21142033231000 in words is "twenty-one trillion, one hundred forty-two billion, thirty-three million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 439 440 500 550 878 1000 1100 1375 1756 2195 2200 2750 3512 4390 4829 5500 8780 9658 10975 11000 17560 19316 21950 24145 38632 43900 48290 54875 87800 96580 109750 120725 193160 219500 241450 439000 482900 603625 965800 1207250 2414500 4378139 4829000 8756278 17512556 21890695 35025112 43781390 48159529 87562780 96319058 109453475 175125560 192638116 218906950 240797645 385276232 437813900 481595290 547267375 875627800 963190580 1094534750 1203988225 1922003021 1926381160 2189069500 2407976450 3844006042 4378139000 4815952900 6019941125 7688012084 9610015105 9631905800 12039882250 15376024168 19220030210 21142033231 24079764500 38440060420 42284066462 48050075525 48159529000 76880120840 84568132924 96100151050 105710166155 169136265848 192200302100 211420332310 240250377625 384400604200 422840664620 480500755250 528550830775 845681329240 961001510500 1057101661550 1922003021000 2114203323100 2642754153875 4228406646200 5285508307750 10571016615500 21142033231000