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1102757980840 = 23517297672
BaseRepresentation
bin10000000011000001011…
…111110110101010101000
310220102102002200201012021
4100003001133312222220
5121031422020341330
62202333334354224
7142446241115005
oct20030137665250
93812362621167
101102757980840
1139574a1498aa
1215987b4bb974
137ccb32b28b9
143b5338b08ac
151da42b8a67a
hex100c17f6aa8

1102757980840 has 72 divisors (see below), whose sum is σ = 2636014094910. Its totient is φ = 415113439744.

The previous prime is 1102757980829. The next prime is 1102757980871. The reversal of 1102757980840 is 480897572011.

It can be written as a sum of positive squares in 3 ways, for example, as 1071850231204 + 30907749636 = 1035302^2 + 175806^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112901637 + ... + 112911403.

Almost surely, 21102757980840 is an apocalyptic number.

1102757980840 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 1102757980840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318007047455).

1102757980840 is an abundant number, since it is smaller than the sum of its proper divisors (1533256114070).

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

1102757980840 is an frugal number, since it uses more digits than its factorization.

1102757980840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19579 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 52.

The spelling of 1102757980840 in words is "one trillion, one hundred two billion, seven hundred fifty-seven million, nine hundred eighty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 5780 9767 11560 19534 39068 48835 78136 97670 166039 195340 332078 390680 664156 830195 1328312 1660390 2822663 3320780 5645326 6641560 11290652 14113315 22581304 28226630 56453260 95394289 112906520 190788578 381577156 476971445 763154312 953942890 1621702913 1907885780 3243405826 3815771560 6486811652 8108514565 12973623304 16217029130 27568949521 32434058260 55137899042 64868116520 110275798084 137844747605 220551596168 275689495210 551378990420 1102757980840