Search a number
-
+
10210122100100 = 2252137999416963
BaseRepresentation
bin1001010010010011101010…
…1100110110110110000100
31100011002002222000220022002
42110210322230312312010
52314240312224200400
633414244302524432
72102441225622236
oct224447254666604
940132088026262
1010210122100100
1132870a78258aa
12118a959296718
13590a6c545930
1427425b678256
1512a8c6d42ed5
hex9493ab36d84

10210122100100 has 72 divisors (see below), whose sum is σ = 24162298930560. Its totient is φ = 3722171057280.

The previous prime is 10210122100093. The next prime is 10210122100111. The reversal of 10210122100100 is 100122101201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49605782 + ... + 49811181.

Almost surely, 210210122100100 is an apocalyptic number.

10210122100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210122100100 is an abundant number, since it is smaller than the sum of its proper divisors (13952176830460).

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

10210122100100 is a wasteful number, since it uses less digits than its factorization.

10210122100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99417069 (or 99417062 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10210122100100 its reverse (100122101201), we get a palindrome (10310244201301).

The spelling of 10210122100100 in words is "ten trillion, two hundred ten billion, one hundred twenty-two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 79 100 130 158 260 316 325 395 650 790 1027 1300 1580 1975 2054 3950 4108 5135 7900 10270 20540 25675 51350 102700 99416963 198833926 397667852 497084815 994169630 1292420519 1988339260 2485424075 2584841038 4970848150 5169682076 6462102595 7853940077 9941696300 12924205190 15707880154 25848410380 31415760308 32310512975 39269700385 64621025950 78539400770 102101221001 129242051900 157078801540 196348501925 204202442002 392697003850 408404884004 510506105005 785394007700 1021012210010 2042024420020 2552530525025 5105061050050 10210122100100