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1000210210212 = 2232361139427403
BaseRepresentation
bin11101000111000010010…
…11001001110110100100
310112121201100222012200110
432203201023021312210
5112341412303211322
62043253520013020
7132156066336543
oct16434113116644
93477640865613
101000210210212
11356206651a44
12141a20461170
137341c9b9295
14365a632615a
151b03ee3ac0c
hexe8e12c9da4

1000210210212 has 96 divisors (see below), whose sum is σ = 2493030435840. Its totient is φ = 311422193280.

The previous prime is 1000210210093. The next prime is 1000210210277. The reversal of 1000210210212 is 2120120120001.

It is a super-2 number, since 2×10002102102122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 2126503 + ... + 2553905.

It is an arithmetic number, because the mean of its divisors is an integer number (25969067040).

Almost surely, 21000210210212 is an apocalyptic number.

1000210210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000210210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246515217920).

1000210210212 is an abundant number, since it is smaller than the sum of its proper divisors (1492820225628).

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

1000210210212 is a wasteful number, since it uses less digits than its factorization.

1000210210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427633 (or 427631 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000210210212 its reverse (2120120120001), we get a palindrome (3120330330213).

The spelling of 1000210210212 in words is "one trillion, two hundred ten million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 139 183 244 276 278 366 417 556 732 834 1403 1668 2806 3197 4209 5612 6394 8418 8479 9591 12788 16836 16958 19182 25437 33916 38364 50874 101748 195017 390034 427403 585051 780068 854806 1170102 1282209 1709612 2340204 2564418 5128836 9830269 19660538 26071583 29490807 39321076 52143166 58981614 59409017 78214749 104286332 117963228 118818034 156429498 178227051 237636068 312858996 356454102 599646409 712908204 1199292818 1366407391 1798939227 2398585636 2732814782 3597878454 3623950037 4099222173 5465629564 7195756908 7247900074 8198444346 10871850111 14495800148 16396888692 21743700222 43487400444 83350850851 166701701702 250052552553 333403403404 500105105106 1000210210212