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212202002122 = 211291013319949
BaseRepresentation
bin1100010110100000111…
…0011001011011001010
3202021201201111121122221
43011220032121123022
511434042203031442
6241252333204254
721221364154135
oct3055016313312
9667651447587
10212202002122
1181aa3552a80
123516203068a
131701a28c386
14a3b088321c
1557be7e7467
hex31683996ca

212202002122 has 64 divisors (see below), whose sum is σ = 363902544000. Its totient is φ = 91919520000.

The previous prime is 212202002119. The next prime is 212202002137. The reversal of 212202002122 is 221200202212.

It is a junction number, because it is equal to n+sod(n) for n = 212202002096 and 212202002105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21324004 + ... + 21333952.

It is an arithmetic number, because the mean of its divisors is an integer number (5685977250).

Almost surely, 2212202002122 is an apocalyptic number.

212202002122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212202002122 is a deficient number, since it is larger than the sum of its proper divisors (151700541878).

212202002122 is a wasteful number, since it uses less digits than its factorization.

212202002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10423.

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

Adding to 212202002122 its reverse (221200202212), we get a palindrome (433402204334).

The spelling of 212202002122 in words is "two hundred twelve billion, two hundred two million, two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 29 58 101 202 319 331 638 662 1111 2222 2929 3641 5858 7282 9599 9949 19198 19898 32219 33431 64438 66862 105589 109439 211178 218878 288521 367741 577042 735482 969499 1004849 1938998 2009698 3173731 3293119 6347462 6586238 10664489 11053339 21328978 22106678 29140621 36224309 58281242 72448618 95500451 191000902 320546831 332605019 641093662 665210038 1050504961 2101009922 3658655209 7317310418 9645545551 19291091102 106101001061 212202002122