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1120012210100 = 2252737317532447
BaseRepresentation
bin10000010011000101111…
…011100000111110110100
310222001221120120101002102
4100103011323200332310
5121322241111210400
62214305420401232
7143626642464260
oct20230573407664
93861846511072
101120012210100
113a1aa376a703
121610959a6218
1381802b69704
143c2cd24b0a0
151e20282e9d5
hex104c5ee0fb4

1120012210100 has 144 divisors (see below), whose sum is σ = 2787804569088. Its totient is φ = 382599797760.

The previous prime is 1120012210067. The next prime is 1120012210133. The reversal of 1120012210100 is 10122100211.

It is an interprime number because it is at equal distance from previous prime (1120012210067) and next prime (1120012210133).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457707077 + ... + 457709523.

It is an arithmetic number, because the mean of its divisors is an integer number (19359753952).

Almost surely, 21120012210100 is an apocalyptic number.

1120012210100 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 1120012210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393902284544).

1120012210100 is an abundant number, since it is smaller than the sum of its proper divisors (1667792358988).

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

1120012210100 is a wasteful number, since it uses less digits than its factorization.

1120012210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4594 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1120012210100 its reverse (10122100211), we get a palindrome (1130134310311).

The spelling of 1120012210100 in words is "one trillion, one hundred twenty billion, twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 373 700 746 1492 1753 1865 2447 2611 3506 3730 4894 5222 7012 7460 8765 9325 9788 10444 12235 12271 13055 17129 17530 18650 24470 24542 26110 34258 35060 37300 43825 48940 49084 52220 61175 61355 65275 68516 85645 87650 122350 122710 130550 171290 175300 244700 245420 261100 306775 342580 428225 613550 653869 856450 912731 1227100 1307738 1712900 1825462 2615476 3269345 3650924 4289591 4563655 4577083 6389117 6538690 8579182 9127310 9154166 12778234 13077380 16346725 17158364 18254620 18308332 21447955 22818275 22885415 25556468 30027137 31945585 32693450 42895910 45636550 45770830 60054274 63891170 65386900 85791820 91273100 91541660 107239775 114427075 120108548 127782340 150135685 159727925 214479550 228854150 300271370 319455850 428959100 457708300 600542740 638911700 750678425 1501356850 1600017443 3002713700 3200034886 6400069772 8000087215 11200122101 16000174430 22400244202 32000348860 40000436075 44800488404 56000610505 80000872150 112001221010 160001744300 224002442020 280003052525 560006105050 1120012210100