Search a number
-
+
2063156320100 = 2252233571251197
BaseRepresentation
bin11110000001011101101…
…100110001011101100100
321022020100220121022220202
4132001131230301131210
5232300321004220400
64215445000050032
7302025636240131
oct36013554613544
97266326538822
102063156320100
11725a85a57957
12293a2aa63918
1311c729ba8595
1471c005db588
1538a028a14d5
hex1e05db31764

2063156320100 has 72 divisors (see below), whose sum is σ = 4673030365248. Its totient is φ = 789157353600.

The previous prime is 2063156320087. The next prime is 2063156320103. The reversal of 2063156320100 is 10236513602.

It is a super-2 number, since 2×20631563201002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2063156320103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8087702 + ... + 8338898.

Almost surely, 22063156320100 is an apocalyptic number.

2063156320100 is a gapful number since it is divisible by the number (20) 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 2063156320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336515182624).

2063156320100 is an abundant number, since it is smaller than the sum of its proper divisors (2609874045148).

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

2063156320100 is a wasteful number, since it uses less digits than its factorization.

2063156320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254805 (or 254798 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 2063156320100 in words is "two trillion, sixty-three billion, one hundred fifty-six million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 3571 7142 14284 17855 35710 71420 82133 89275 164266 178550 251197 328532 357100 410665 502394 821330 1004788 1255985 1642660 2053325 2511970 4106650 5023940 5777531 6279925 8213300 11555062 12559850 23110124 25119700 28887655 57775310 115550620 144438275 288876550 577753100 897024487 1794048974 3588097948 4485122435 8970244870 17940489740 20631563201 22425612175 41263126402 44851224350 82526252804 89702448700 103157816005 206315632010 412631264020 515789080025 1031578160050 2063156320100