Search a number
-
+
102032120100 = 223522029167623
BaseRepresentation
bin101111100000110010…
…1101001100100100100
3100202100210102201222010
41133001211221210210
53132430210320400
6114512314234220
710241310465621
oct1370145514444
9322323381863
10102032120100
113a2a9520aa9
1217936425970
139810821a81
144d1ccbb348
1529c2844450
hex17c1969924

102032120100 has 72 divisors (see below), whose sum is σ = 295360192960. Its totient is φ = 27194993280.

The previous prime is 102032120083. The next prime is 102032120207. The reversal of 102032120100 is 1021230201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524889 + ... + 692511.

Almost surely, 2102032120100 is an apocalyptic number.

102032120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102032120100 is an abundant number, since it is smaller than the sum of its proper divisors (193328072860).

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

102032120100 is a wasteful number, since it uses less digits than its factorization.

102032120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169669 (or 169662 counting only the distinct ones).

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

Adding to 102032120100 its reverse (1021230201), we get a palindrome (103053350301).

The spelling of 102032120100 in words is "one hundred two billion, thirty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2029 4058 6087 8116 10145 12174 20290 24348 30435 40580 50725 60870 101450 121740 152175 167623 202900 304350 335246 502869 608700 670492 838115 1005738 1676230 2011476 2514345 3352460 4190575 5028690 8381150 10057380 12571725 16762300 25143450 50286900 340107067 680214134 1020321201 1360428268 1700535335 2040642402 3401070670 4081284804 5101606005 6802141340 8502676675 10203212010 17005353350 20406424020 25508030025 34010706700 51016060050 102032120100