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102022212120202 = 211172397178322669
BaseRepresentation
bin10111001100100111100101…
…101101100110111010001010
3111101020020011101011222221101
4113030213211231212322022
5101333012442300321302
61000552205054332014
730326601344433253
oct2714474555467212
9441206141158841
10102022212120202
112a5644170346a0
12b5387084ba00a
1344c086546b1ba
141b29c8969bb2a
15bbdc7282b287
hex5cc9e5b66e8a

102022212120202 has 96 divisors (see below), whose sum is σ = 177897693962880. Its totient is φ = 43509590277120.

The previous prime is 102022212120149. The next prime is 102022212120209. The reversal of 102022212120202 is 202021212220201.

It is a self number, because there is not a number n which added to its sum of digits gives 102022212120202.

It is not an unprimeable number, because it can be changed into a prime (102022212120209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4500505324 + ... + 4500527992.

It is an arithmetic number, because the mean of its divisors is an integer number (1853100978780).

Almost surely, 2102022212120202 is an apocalyptic number.

102022212120202 is a deficient number, since it is larger than the sum of its proper divisors (75875481842678).

102022212120202 is a wasteful number, since it uses less digits than its factorization.

102022212120202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24896 (or 24879 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 102022212120202 its reverse (202021212220201), we get a palindrome (304043424340403).

Subtracting 102022212120202 from its reverse (202021212220201), we obtain a palindrome (99999000099999).

It can be divided in two parts, 1020 and 22212120202, that added together give a palindrome (22212121222).

The spelling of 102022212120202 in words is "one hundred two trillion, twenty-two billion, two hundred twelve million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 11 17 22 34 187 289 374 397 578 794 1783 3179 3566 4367 6358 6749 8734 13498 19613 22669 30311 39226 45338 60622 74239 114733 148478 229466 249359 333421 385373 498718 515287 666842 707851 770746 1030574 1262063 1415702 2524126 4239103 5668157 6551341 7786361 8478206 8999593 11336314 12033467 13102682 15572722 17999186 24066934 40418827 72064751 80837654 98995523 132368137 144129502 152993081 197991046 204568939 264736274 305986162 409137878 444607097 687120059 889214194 1374240118 1682923891 2250258329 2600882377 3365847782 4500516658 5201764754 7558320649 11681041003 15116641298 16046274319 23362082006 28609706147 32092548638 57219412294 128491451033 176509017509 256982902066 272786663423 353018035018 545573326846 3000653297653 4637373278191 6001306595306 9274746556382 51011106060101 102022212120202