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10002211120212 = 22337193434926839
BaseRepresentation
bin1001000110001101001000…
…1111011010010001010100
31022102012110021211210112120
42101203102033122101110
52302334012021321322
633134541413015540
72051431054510023
oct221432217322124
938365407753476
1010002211120212
113206a064693a3
1211565b43245b0
1357728728158c
14268176a628ba
151252a9109a5c
hex918d23da454

10002211120212 has 96 divisors (see below), whose sum is σ = 24099893664000. Its totient is φ = 3226290020352.

The previous prime is 10002211120171. The next prime is 10002211120217. The reversal of 10002211120212 is 21202111220001.

It is a junction number, because it is equal to n+sod(n) for n = 10002211120191 and 10002211120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002211120217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372661089 + ... + 372687927.

It is an arithmetic number, because the mean of its divisors is an integer number (251040559000).

Almost surely, 210002211120212 is an apocalyptic number.

10002211120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002211120212 is an abundant number, since it is smaller than the sum of its proper divisors (14097682543788).

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

10002211120212 is a wasteful number, since it uses less digits than its factorization.

10002211120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31425 (or 31423 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10002211120212 its reverse (21202111220001), we get a palindrome (31204322340213).

The spelling of 10002211120212 in words is "ten trillion, two billion, two hundred eleven million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 193 222 386 444 579 772 1158 2316 4349 7141 8698 13047 14282 17396 21423 26094 26839 28564 42846 52188 53678 80517 85692 107356 160913 161034 321826 322068 482739 643652 839357 965478 993043 1678714 1930956 1986086 2518071 2979129 3357428 3972172 5036142 5179927 5958258 10072284 10359854 11916516 15539781 20719708 31056209 31079562 62112418 62159124 93168627 116722811 124224836 186337254 191657299 233445622 350168433 372674508 383314598 466891244 574971897 700336866 766629196 1149943794 1400673732 2299887588 4318744007 8637488014 12956232021 17274976028 22527502523 25912464042 45055005046 51824928084 67582507569 90110010092 135165015138 270330030276 833517593351 1667035186702 2500552780053 3334070373404 5001105560106 10002211120212