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200023122001410 = 233519923315977449
BaseRepresentation
bin101101011110101110000011…
…001000100011111000000010
3222020020000122021202102122000
4231132232003020203320002
5202204134323213021120
61545225204222124430
760063123300142401
oct5536560310437002
9866200567672560
10200023122001410
1158808369861224
121a5259a2a20716
13877c13a6c5c16
1437572567cd638
15181d0d8e4c990
hexb5eb83223e02

200023122001410 has 128 divisors (see below), whose sum is σ = 538376155200000. Its totient is φ = 52843683695616.

The previous prime is 200023122001393. The next prime is 200023122001477. The reversal of 200023122001410 is 14100221320002.

It is a happy number.

200023122001410 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 2 + 31 + 220 + 0 + 1 + 410 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4530366 + ... + 20507814.

It is an arithmetic number, because the mean of its divisors is an integer number (4206063712500).

Almost surely, 2200023122001410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200023122001410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269188077600000).

200023122001410 is an abundant number, since it is smaller than the sum of its proper divisors (338353033198590).

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

200023122001410 is a wasteful number, since it uses less digits than its factorization.

200023122001410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15977897 (or 15977891 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 200023122001410 its reverse (14100221320002), we get a palindrome (214123343321412).

The spelling of 200023122001410 in words is "two hundred trillion, twenty-three billion, one hundred twenty-two million, one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 199 233 270 398 466 597 699 995 1165 1194 1398 1791 1990 2097 2330 2985 3495 3582 4194 5373 5970 6291 6990 8955 10485 10746 12582 17910 20970 26865 31455 46367 53730 62910 92734 139101 231835 278202 417303 463670 695505 834606 1251909 1391010 2086515 2503818 4173030 6259545 12519090 15977449 31954898 47932347 79887245 95864694 143797041 159774490 239661735 287594082 431391123 479323470 718985205 862782246 1437970410 2156955615 3179512351 3722745617 4313911230 6359024702 7445491234 9538537053 11168236851 15897561755 18613728085 19077074106 22336473702 28615611159 31795123510 33504710553 37227456170 47692685265 55841184255 57231222318 67009421106 85846833477 95385370530 100514131659 111682368510 143078055795 167523552765 171693666954 201028263318 286156111590 335047105530 429234167385 502570658295 740826377783 858468334770 1005141316590 1481652755566 2222479133349 3704131888915 4444958266698 6667437400047 7408263777830 11112395666745 13334874800094 20002312200141 22224791333490 33337187000235 40004624400282 66674374000470 100011561000705 200023122001410