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102022202100 = 223527133737077
BaseRepresentation
bin101111100000011111…
…1110100001011110100
3100202100002202212000210
41133000333310023310
53132420140431400
6114511321505420
710241130260310
oct1370077641364
9322302685023
10102022202100
113a2a3967505
1217933042270
13980b75b630
144d1b858b40
1529c1a35950
hex17c0ff42f4

102022202100 has 144 divisors (see below), whose sum is σ = 363303774848. Its totient is φ = 21525557760.

The previous prime is 102022202083. The next prime is 102022202111. The reversal of 102022202100 is 1202220201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1841239 + ... + 1895838.

Almost surely, 2102022202100 is an apocalyptic number.

102022202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022202100 is an abundant number, since it is smaller than the sum of its proper divisors (261281572748).

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

102022202100 is a wasteful number, since it uses less digits than its factorization.

102022202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737114 (or 3737107 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102022202100 its reverse (1202220201), we get a palindrome (103224422301).

The spelling of 102022202100 in words is "one hundred two billion, twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 27300 3737077 7474154 11211231 14948308 18685385 22422462 26159539 37370770 44844924 48582001 52319078 56056155 74741540 78478617 93426925 97164002 104638156 112112310 130797695 145746003 156957234 186853850 194328004 224224620 242910005 261595390 280280775 291492006 313914468 340074007 373707700 392393085 485820010 523190780 560561550 582984012 653988475 680148014 728730015 784786170 971640020 1020222021 1121123100 1214550025 1307976950 1360296028 1457460030 1569572340 1700370035 1961965425 2040444042 2429100050 2615953900 2914920060 3400740070 3643650075 3923930850 4080888084 4858200100 5101110105 6801480140 7287300150 7847861700 8501850175 10202220210 14574600300 17003700350 20404440420 25505550525 34007400700 51011101050 102022202100