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1001211022212 = 22353127120110321
BaseRepresentation
bin11101001000111001101…
…00111100101110000100
310112201022010011201122120
432210130310330232010
5112400440010202322
62043541110525540
7132222641162022
oct16443464745604
93481263151576
101001211022212
1135667a57a8a5
1214205b6668b0
137354c14bc2b
143665d205712
151b09cc2ca5c
hexe91cd3cb84

1001211022212 has 96 divisors (see below), whose sum is σ = 2401209667584. Its totient is φ = 324559872000.

The previous prime is 1001211022211. The next prime is 1001211022213. The reversal of 1001211022212 is 2122201121001.

1001211022212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1001211022211) and next prime (1001211022213).

It is a junction number, because it is equal to n+sod(n) for n = 1001211022191 and 1001211022200.

It is not an unprimeable number, because it can be changed into a prime (1001211022211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97002012 + ... + 97012332.

It is an arithmetic number, because the mean of its divisors is an integer number (25012600704).

Almost surely, 21001211022212 is an apocalyptic number.

1001211022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001211022212 is an abundant number, since it is smaller than the sum of its proper divisors (1399998645372).

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

1001211022212 is a wasteful number, since it uses less digits than its factorization.

1001211022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11709 (or 11707 counting only the distinct ones).

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

Adding to 1001211022212 its reverse (2122201121001), we get a palindrome (3123412143213).

The spelling of 1001211022212 in words is "one trillion, one billion, two hundred eleven million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 53 106 127 159 212 254 318 381 508 636 762 1201 1524 2402 3603 4804 6731 7206 10321 13462 14412 20193 20642 26924 30963 40386 41284 61926 63653 80772 123852 127306 152527 190959 254612 305054 381918 457581 547013 610108 763836 915162 1094026 1310767 1641039 1830324 2188052 2621534 3282078 3932301 5243068 6564156 7864602 8083931 12395521 15729204 16167862 24251793 24791042 32335724 37186563 48503586 49582084 69470651 74373126 97007172 138941302 148746252 208411953 277882604 416823906 656962613 833647812 1313925226 1574231167 1970887839 2627850452 3148462334 3941775678 4722693501 6296924668 7883551356 9445387002 18890774004 83434251851 166868503702 250302755553 333737007404 500605511106 1001211022212