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1020104231224 = 231331617397019
BaseRepresentation
bin11101101100000101111…
…00110100100100111000
310121112001211002012002111
432312002330310210320
5113203133140344344
62100343541542104
7133462063620031
oct16660274644470
93545054065074
101020104231224
11363695276421
12145852a14934
1375270438b50
1437532501a88
151b806720834
hexed82f34938

1020104231224 has 128 divisors (see below), whose sum is σ = 2164361472000. Its totient is φ = 447490137600.

The previous prime is 1020104231219. The next prime is 1020104231231. The reversal of 1020104231224 is 4221324010201.

1020104231224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10201042312242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020104231195 and 1020104231204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145331187 + ... + 145338205.

It is an arithmetic number, because the mean of its divisors is an integer number (16909074000).

Almost surely, 21020104231224 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 1020104231224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082180736000).

1020104231224 is an abundant number, since it is smaller than the sum of its proper divisors (1144257240776).

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

1020104231224 is a wasteful number, since it uses less digits than its factorization.

1020104231224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7869 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1020104231224 its reverse (4221324010201), we get a palindrome (5241428241425).

The spelling of 1020104231224 in words is "one trillion, twenty billion, one hundred four million, two hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 31 52 61 62 104 122 124 244 248 403 488 739 793 806 1478 1586 1612 1891 2956 3172 3224 3782 5912 6344 7019 7564 9607 14038 15128 19214 22909 24583 28076 38428 45079 45818 49166 56152 76856 90158 91247 91636 98332 180316 182494 183272 196664 217589 297817 360632 364988 428159 435178 586027 595634 729976 856318 870356 1172054 1191268 1397449 1712636 1740712 2344108 2382536 2794898 2828657 3425272 4688216 5187041 5566067 5589796 5657314 10374082 11132134 11179592 11314628 13272929 18166837 20748164 22264268 22629256 26545858 36333674 41496328 44528536 53091716 67431533 72667348 106183432 134863066 145334696 160798271 172548077 269726132 316409501 321596542 345096154 539452264 632819002 643193084 690192308 1265638004 1286386168 1380384616 2090377523 2531276008 4113323513 4180755046 8226647026 8361510092 9808694531 16453294052 16723020184 19617389062 32906588104 39234778124 78469556248 127513028903 255026057806 510052115612 1020104231224