Search a number
-
+
102210020000 = 255411464591
BaseRepresentation
bin101111100110000110…
…0010010001010100000
3100202211012011222202022
41133030030102022200
53133311231120000
6114542111241012
710245600556334
oct1371414221240
9322735158668
10102210020000
113a38a989910
1217985b19168
13983b63ba9a
144d387897c4
1529d3285585
hex17cc3122a0

102210020000 has 120 divisors (see below), whose sum is σ = 274311842112. Its totient is φ = 37167200000.

The previous prime is 102210019991. The next prime is 102210020083. The reversal of 102210020000 is 20012201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 102210020000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12296 + ... + 452295.

Almost surely, 2102210020000 is an apocalyptic number.

102210020000 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 102210020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137155921056).

102210020000 is an abundant number, since it is smaller than the sum of its proper divisors (172101822112).

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

102210020000 is an equidigital number, since it uses as much as digits as its factorization.

102210020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464632 (or 464609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102210020000 its reverse (20012201), we get a palindrome (102230032201).

The spelling of 102210020000 in words is "one hundred two billion, two hundred ten million, twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 20000 22000 27500 44000 55000 110000 220000 464591 929182 1858364 2322955 3716728 4645910 5110501 7433456 9291820 10221002 11614775 14866912 18583640 20442004 23229550 25552505 37167280 40884008 46459100 51105010 58073875 74334560 81768016 92918200 102210020 116147750 127762525 163536032 185836400 204420040 232295500 255525050 290369375 371672800 408840080 464591000 511050100 580738750 638812625 817680160 929182000 1022100200 1161477500 1277625250 1858364000 2044200400 2322955000 2555250500 3194063125 4088400800 4645910000 5110501000 6388126250 9291820000 10221002000 12776252500 20442004000 25552505000 51105010000 102210020000