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102120220202200 = 23521747639050189
BaseRepresentation
bin10111001110000010110111…
…011100110001010011011000
3111101120121010201200102101021
4113032002313130301103120
5101341114202332432300
61001105214223532224
730336641153410534
oct2716026734612330
9441517121612337
10102120220202200
112a5a1a40043272
12b5536bb15a074
1344c9b843a3125
141b30905d68bc4
15bc15abc4cd1a
hex5ce0b77314d8

102120220202200 has 96 divisors (see below), whose sum is σ = 256744804334400. Its totient is φ = 37627275069440.

The previous prime is 102120220202123. The next prime is 102120220202201. The reversal of 102120220202200 is 2202022021201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120220202201) 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, 319365295 + ... + 319684894.

It is an arithmetic number, because the mean of its divisors is an integer number (2674425045150).

Almost surely, 2102120220202200 is an apocalyptic number.

102120220202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120220202200 is an abundant number, since it is smaller than the sum of its proper divisors (154624584132200).

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

102120220202200 is a wasteful number, since it uses less digits than its factorization.

102120220202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639050269 (or 639050260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102120220202200 its reverse (2202022021201), we get a palindrome (104322242223401).

The spelling of 102120220202200 in words is "one hundred two trillion, one hundred twenty billion, two hundred twenty million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 47 50 68 85 94 100 136 170 188 200 235 340 376 425 470 680 799 850 940 1175 1598 1700 1880 2350 3196 3400 3995 4700 6392 7990 9400 15980 19975 31960 39950 79900 159800 639050189 1278100378 2556200756 3195250945 5112401512 6390501890 10863853213 12781003780 15976254725 21727706426 25562007560 30035358883 31952509450 43455412852 54319266065 60070717766 63905018900 86910825704 108638532130 120141435532 127810037800 150176794415 217277064260 240282871064 271596330325 300353588830 434554128520 510601101011 543192660650 600707177660 750883972075 1021202202022 1086385321300 1201414355320 1501767944150 2042404404044 2172770642600 2553005505055 3003535888300 4084808808088 5106011010110 6007071776600 10212022020220 12765027525275 20424044040440 25530055050550 51060110101100 102120220202200