Search a number
-
+
102120021221000 = 2353196931377543
BaseRepresentation
bin10111001110000010101011…
…100101101101111010001000
3111101120120121212021010111012
4113032002223211231322020
5101341113300413033000
61001105142355023052
730336633216165446
oct2716025345557210
9441516555233435
10102120021221000
112a5a19487967a2
12b55366459aa88
1344c9b520b4783
141b308c776db96
15bc1599545735
hex5ce0ab96de88

102120021221000 has 128 divisors (see below), whose sum is σ = 251544609388800. Its totient is φ = 38697055948800.

The previous prime is 102120021220967. The next prime is 102120021221011. The reversal of 102120021221000 is 122120021201.

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, 1316908229 + ... + 1316985771.

It is an arithmetic number, because the mean of its divisors is an integer number (1965192260850).

Almost surely, 2102120021221000 is an apocalyptic number.

102120021221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120021221000 is an abundant number, since it is smaller than the sum of its proper divisors (149424588167800).

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

102120021221000 is a wasteful number, since it uses less digits than its factorization.

102120021221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146896 (or 146882 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102120021221000 its reverse (122120021201), we get a palindrome (102242141242201).

The spelling of 102120021221000 in words is "one hundred two trillion, one hundred twenty billion, twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 19000 69313 77543 138626 155086 277252 310172 346565 387715 554504 620344 693130 775430 1316947 1386260 1473317 1550860 1732825 1938575 2633894 2772520 2946634 3101720 3465650 3877150 5267788 5893268 6584735 6931300 7366585 7754300 8664125 9692875 10535576 11786536 13169470 13862600 14733170 15508600 17328250 19385750 26338940 29466340 32923675 34656500 36832925 38771500 52677880 58932680 65847350 69313000 73665850 77543000 131694700 147331700 164618375 184164625 263389400 294663400 329236750 368329250 658473500 736658500 1316947000 1473317000 5374737959 10749475918 21498951836 26873689795 42997903672 53747379590 102120021221 107494759180 134368448975 204240042442 214989518360 268736897950 408480084884 510600106105 537473795900 671842244875 816960169768 1021200212210 1074947591800 1343684489750 2042400424420 2553000530525 2687368979500 4084800848840 5106001061050 5374737959000 10212002122100 12765002652625 20424004244200 25530005305250 51060010610500 102120021221000