Search a number
-
+
102012221020010 = 257175310499154057
BaseRepresentation
bin10111001100011110010010…
…001100100101011101101010
3111101012021101002011112001112
4113030132102030211131222
5101332332012040120020
61000543433430350322
730326065635456260
oct2714362214453552
9441167332145045
10102012221020010
112a56015a3491a4
12b53679a4bb3a2
1344bc9325788b2
141b295bc7b4430
15bbd88a62a2c5
hex5cc79232576a

102012221020010 has 128 divisors (see below), whose sum is σ = 226413496512000. Its totient is φ = 32293844803584.

The previous prime is 102012221019977. The next prime is 102012221020033. The reversal of 102012221020010 is 10020122210201.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 662094902 + ... + 662248958.

It is an arithmetic number, because the mean of its divisors is an integer number (1768855441500).

Almost surely, 2102012221020010 is an apocalyptic number.

102012221020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102012221020010 is an abundant number, since it is smaller than the sum of its proper divisors (124401275491990).

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

102012221020010 is a wasteful number, since it uses less digits than its factorization.

102012221020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164640.

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

Adding to 102012221020010 its reverse (10020122210201), we get a palindrome (112032343230211).

The spelling of 102012221020010 in words is "one hundred two trillion, twelve billion, two hundred twenty-one million, twenty thousand, ten".

Divisors: 1 2 5 7 10 14 17 34 35 53 70 85 106 119 170 238 265 371 530 595 742 901 1190 1802 1855 3710 4505 6307 9010 10499 12614 20998 31535 52495 63070 73493 104990 146986 154057 178483 308114 356966 367465 556447 734930 770285 892415 1078399 1112894 1249381 1540570 1784830 2156798 2498762 2618969 2782235 3895129 5237938 5391995 5564470 6246905 7790258 8165021 9459599 10783990 12493810 13094845 16330042 18332783 18919198 19475645 26189690 36665566 38951290 40825105 47297995 57155147 66217193 81650210 91663915 94595990 114310294 132434386 138805357 183327830 277610714 285775735 331085965 571551470 662171930 694026785 971637499 1388053570 1617444443 1943274998 3234888886 4858187495 8087222215 9716374990 11322111101 16174444430 22644222202 27496555531 54993111062 56610555505 85724555479 113221111010 137482777655 171449110958 192475888717 274965555310 384951777434 428622777395 600071888353 857245554790 962379443585 1200143776706 1457317443143 1924758887170 2914634886286 3000359441765 6000718883530 7286587215715 10201222102001 14573174431430 20402444204002 51006110510005 102012221020010