Search a number
-
+
10023220101000 = 2335321111582697
BaseRepresentation
bin1001000111011011011001…
…1110010011111110001000
31022111012200102221121020010
42101312312132103332020
52303210023321213000
633152334224231520
72053103511060621
oct221666636237610
938435612847203
1010023220101000
113214907495637
12115a69816b5a0
135792549bc062
142691aad52a48
15125ad872cd50
hex91db6793f88

10023220101000 has 128 divisors (see below), whose sum is σ = 31287280527360. Its totient is φ = 2671590848000.

The previous prime is 10023220100989. The next prime is 10023220101019. The reversal of 10023220101000 is 10102232001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 5541652 + ... + 7124348.

It is an arithmetic number, because the mean of its divisors is an integer number (244431879120).

Almost surely, 210023220101000 is an apocalyptic number.

10023220101000 is a gapful number since it is divisible by the number (10) 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 10023220101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15643640263680).

10023220101000 is an abundant number, since it is smaller than the sum of its proper divisors (21264060426360).

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

10023220101000 is a wasteful number, since it uses less digits than its factorization.

10023220101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584832 (or 1584818 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10023220101000 its reverse (10102232001), we get a palindrome (10033322333001).

The spelling of 10023220101000 in words is "ten trillion, twenty-three billion, two hundred twenty million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2111 3000 4222 6333 8444 10555 12666 16888 21110 25332 31665 42220 50664 52775 63330 84440 105550 126660 158325 211100 253320 263875 316650 422200 527750 633300 791625 1055500 1266600 1582697 1583250 2111000 3165394 3166500 4748091 6330788 6333000 7913485 9496182 12661576 15826970 18992364 23740455 31653940 37984728 39567425 47480910 63307880 79134850 94961820 118702275 158269700 189923640 197837125 237404550 316539400 395674250 474809100 593511375 791348500 949618200 1187022750 1582697000 2374045500 3341073367 4748091000 6682146734 10023220101 13364293468 16705366835 20046440202 26728586936 33410733670 40092880404 50116100505 66821467340 80185760808 83526834175 100232201010 133642934680 167053668350 200464402020 250580502525 334107336700 400928804040 417634170875 501161005050 668214673400 835268341750 1002322010100 1252902512625 1670536683500 2004644020200 2505805025250 3341073367000 5011610050500 10023220101000