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213202222002 = 232711532902369
BaseRepresentation
bin1100011010001111010…
…1111011101110110010
3202101022102121001101200
43012203311323232302
511443114232101002
6241535503312030
721255230662110
oct3064365735662
9671272531350
10213202222002
1182467106a80
12353a0bab616
1317149575663
14a46764aab0
15582c51db1c
hex31a3d7bbb2

213202222002 has 96 divisors (see below), whose sum is σ = 586789557120. Its totient is φ = 54332328960.

The previous prime is 213202221977. The next prime is 213202222061. The reversal of 213202222002 is 200222202312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1377727 + ... + 1524642.

It is an arithmetic number, because the mean of its divisors is an integer number (6112391220).

Almost surely, 2213202222002 is an apocalyptic number.

213202222002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

213202222002 is an abundant number, since it is smaller than the sum of its proper divisors (373587335118).

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

213202222002 is a wasteful number, since it uses less digits than its factorization.

213202222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902448 (or 2902445 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 213202222002 its reverse (200222202312), we get a palindrome (413424424314).

It can be divided in two parts, 21 and 3202222002, that added together give a palindrome (3202222023).

The spelling of 213202222002 in words is "two hundred thirteen billion, two hundred two million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 53 63 66 77 99 106 126 154 159 198 231 318 371 462 477 583 693 742 954 1113 1166 1386 1749 2226 3339 3498 4081 5247 6678 8162 10494 12243 24486 36729 73458 2902369 5804738 8707107 17414214 20316583 26121321 31926059 40633166 52242642 60949749 63852118 95778177 121899498 153825557 182849247 191556354 223482413 287334531 307651114 365698494 446964826 461476671 574669062 670447239 922953342 1076778899 1340894478 1384430013 1692081127 2011341717 2153557798 2768860026 3230336697 3384162254 4022683434 5076243381 6460673394 9691010091 10152486762 11844567889 15228730143 19382020182 23689135778 30457460286 35533703667 71067407334 106601111001 213202222002