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20000121002202 = 231141167233189947
BaseRepresentation
bin1001000110000101001000…
…00110111001100011011010
32121210222210211011001110210
410203002210012321203122
510110140221434032302
6110311532335351550
74132650433355655
oct443024406714332
977728724131423
1020000121002202
1164110049a3860
1222b01a80825b6
13b2100739bb83
144d202235889c
1524a3b07d866c
hex1230a41b98da

20000121002202 has 128 divisors (see below), whose sum is σ = 45161841973248. Its totient is φ = 5852160281600.

The previous prime is 20000121002179. The next prime is 20000121002233. The reversal of 20000121002202 is 20220012100002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105198193 + ... + 105388139.

It is an arithmetic number, because the mean of its divisors is an integer number (352826890416).

Almost surely, 220000121002202 is an apocalyptic number.

20000121002202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20000121002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22580920986624).

20000121002202 is an abundant number, since it is smaller than the sum of its proper divisors (25161720971046).

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

20000121002202 is a wasteful number, since it uses less digits than its factorization.

20000121002202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190404.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20000121002202 its reverse (20220012100002), we get a palindrome (40220133102204).

The spelling of 20000121002202 in words is "twenty trillion, one hundred twenty-one million, two thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 167 233 246 334 451 466 501 699 902 1002 1353 1398 1837 2563 2706 3674 5126 5511 6847 7689 9553 11022 13694 15378 19106 20541 28659 38911 41082 57318 75317 77822 105083 116733 150634 189947 210166 225951 233466 315249 379894 428021 451902 569841 630498 856042 1139682 1284063 1595351 2089417 2568126 3190702 4178834 4786053 6268251 7787827 9572106 12536502 15575654 17548861 23363481 31721149 35097722 44257651 46726962 52646583 63442298 85666097 88515302 95163447 105293166 132772953 171332194 190326894 256998291 265545906 348932639 486834161 513996582 697865278 973668322 1046797917 1300567109 1460502483 1814563691 2093595834 2601134218 2921004966 3629127382 3901701327 5443691073 7391027717 7803402654 10887382146 14306238199 14782055434 19960200601 22173083151 28612476398 39920401202 42918714597 44346166302 59880601803 81301304887 85837429194 119761203606 162602609774 243903914661 303032136397 487807829322 606064272794 909096409191 1818192818382 3333353500367 6666707000734 10000060501101 20000121002202