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1000244413220 = 22513171931172537
BaseRepresentation
bin11101000111000110011…
…01101000001100100100
310112121210202022220101112
432203203031220030210
5112342000032210340
62043301141044152
7132156663142013
oct16434315501444
93477722286345
101000244413220
11356223993198
12141a2b9b6658
1373426b03350
14365aaaaaa7a
151b042e45065
hexe8e3368324

1000244413220 has 96 divisors (see below), whose sum is σ = 2407567585248. Its totient is φ = 345794936832.

The previous prime is 1000244413187. The next prime is 1000244413261. The reversal of 1000244413220 is 223144420001.

It can be written as a sum of positive squares in 16 ways, for example, as 416951735524 + 583292677696 = 645718^2 + 763736^2 .

It is a super-2 number, since 2×10002444132202 (a number of 25 digits) contains 22 as substring.

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, 266792 + ... + 1439328.

It is an arithmetic number, because the mean of its divisors is an integer number (25078829013).

Almost surely, 21000244413220 is an apocalyptic number.

1000244413220 is a gapful number since it is divisible by the number (10) 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 1000244413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203783792624).

1000244413220 is an abundant number, since it is smaller than the sum of its proper divisors (1407323172028).

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

1000244413220 is a wasteful number, since it uses less digits than its factorization.

1000244413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172769 (or 1172767 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1000244413220 its reverse (223144420001), we get a palindrome (1223388833221).

The spelling of 1000244413220 in words is "one trillion, two hundred forty-four million, four hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 193 221 260 340 386 442 772 884 965 1105 1930 2210 2509 3281 3860 4420 5018 6562 10036 12545 13124 16405 25090 32810 42653 50180 65620 85306 170612 213265 426530 853060 1172537 2345074 4690148 5862685 11725370 15242981 19933129 23450740 30485962 39866258 60971924 76214905 79732516 99665645 152429810 199331290 226299641 259130677 304859620 398662580 452599282 518261354 905198564 1036522708 1131498205 1295653385 2262996410 2591306770 2941895333 3847093897 4525992820 5182613540 5883790666 7694187794 11767581332 14709476665 15388375588 19235469485 29418953330 38470938970 50012220661 58837906660 76941877940 100024441322 200048882644 250061103305 500122206610 1000244413220