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212202101120 = 275367903449
BaseRepresentation
bin1100010110100000111…
…0110001100110000000
3202021201201200122110112
43011220032301212000
511434042214213440
6241252335250452
721221365045562
oct3055016614600
9667651618415
10212202101120
1181aa3610399
1235162079a28
131701a2c5459
14a3b08ab332
1557be816965
hex31683b1980

212202101120 has 64 divisors (see below), whose sum is σ = 508678488000. Its totient is φ = 84649463808.

The previous prime is 212202101093. The next prime is 212202101147. The reversal of 212202101120 is 21101202212.

It is an interprime number because it is at equal distance from previous prime (212202101093) and next prime (212202101147).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 212202101095 and 212202101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216845 + ... + 686604.

It is an arithmetic number, because the mean of its divisors is an integer number (7948101375).

Almost surely, 2212202101120 is an apocalyptic number.

212202101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202101120 is an abundant number, since it is smaller than the sum of its proper divisors (296476386880).

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

212202101120 is an equidigital number, since it uses as much as digits as its factorization.

212202101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903835 (or 903823 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212202101120 its reverse (21101202212), we get a palindrome (233303303332).

The spelling of 212202101120 in words is "two hundred twelve billion, two hundred two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 367 640 734 1468 1835 2936 3670 5872 7340 11744 14680 23488 29360 46976 58720 117440 234880 903449 1806898 3613796 4517245 7227592 9034490 14455184 18068980 28910368 36137960 57820736 72275920 115641472 144551840 289103680 331565783 578207360 663131566 1326263132 1657828915 2652526264 3315657830 5305052528 6631315660 10610105056 13262631320 21220210112 26525262640 42440420224 53050525280 106101050560 212202101120