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1010102031224 = 2311132283239999
BaseRepresentation
bin11101011001011101100…
…01011101001101111000
310120120020202011210010122
432230232301131031320
5113022142104444344
62052011240032412
7132656161413056
oct16545661351570
93516222153118
101010102031224
1135a422299530
12143921162708
137433815b200
1436c63d691d6
151b41d57aaee
hexeb2ec5d378

1010102031224 has 96 divisors (see below), whose sum is σ = 2245190400000. Its totient is φ = 422319680640.

The previous prime is 1010102031209. The next prime is 1010102031229. The reversal of 1010102031224 is 4221302010101.

It is a super-2 number, since 2×10101020312242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010102031229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4088777 + ... + 4328775.

It is an arithmetic number, because the mean of its divisors is an integer number (23387400000).

Almost surely, 21010102031224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010102031224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122595200000).

1010102031224 is an abundant number, since it is smaller than the sum of its proper divisors (1235088368776).

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

1010102031224 is a wasteful number, since it uses less digits than its factorization.

1010102031224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240325 (or 240308 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1010102031224 its reverse (4221302010101), we get a palindrome (5231404041325).

The spelling of 1010102031224 in words is "one trillion, ten billion, one hundred two million, thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 169 283 286 338 566 572 676 1132 1144 1352 1859 2264 3113 3679 3718 6226 7358 7436 12452 14716 14872 24904 29432 40469 47827 80938 95654 161876 191308 239999 323752 382616 479998 526097 959996 1052194 1919992 2104388 2639989 3119987 4208776 5279978 6239974 10559956 12479948 21119912 24959896 34319857 40559831 67919717 68639714 81119662 135839434 137279428 162239324 271678868 274558856 324478648 446158141 543357736 747116887 882956321 892316282 1494233774 1765912642 1784632564 2988467548 3531825284 3569265128 5976935096 7063650568 9712519531 11478432173 19425039062 22956864346 38850078124 45913728692 77700156248 91827457384 126262753903 252525507806 505051015612 1010102031224