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111002021000100 = 223252379325423691
BaseRepresentation
bin11001001111010010101100…
…000001111111001110100100
3112120000200121200211122112200
4121033102230001333032210
5104022124114334000400
61032025342515214500
732244426362503266
oct3117225401771644
9476020550748480
10111002021000100
11324067690463aa
1210548b282a7430
1349c25a4187a39
141d5a75294bb36
15cc763d5d8b00
hex64f4ac07f3a4

111002021000100 has 108 divisors (see below), whose sum is σ = 348847689350160. Its totient is φ = 29522437156800.

The previous prime is 111002021000089. The next prime is 111002021000141. The reversal of 111002021000100 is 1000120200111.

It is a happy number.

111002021000100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1110020210001002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162370746 + ... + 163052945.

Almost surely, 2111002021000100 is an apocalyptic number.

111002021000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111002021000100 is an abundant number, since it is smaller than the sum of its proper divisors (237845668350060).

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

111002021000100 is a wasteful number, since it uses less digits than its factorization.

111002021000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325424090 (or 325424080 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111002021000100 its reverse (1000120200111), we get a palindrome (112002141200211).

The spelling of 111002021000100 in words is "one hundred eleven trillion, two billion, twenty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 379 450 758 900 1137 1516 1895 2274 3411 3790 4548 5685 6822 7580 9475 11370 13644 17055 18950 22740 28425 34110 37900 56850 68220 85275 113700 170550 341100 325423691 650847382 976271073 1301694764 1627118455 1952542146 2928813219 3254236910 3905084292 4881355365 5857626438 6508473820 8135592275 9762710730 11715252876 14644066095 16271184550 19525421460 24406776825 29288132190 32542369100 48813553650 58576264380 73220330475 97627107300 123335578889 146440660950 246671157778 292881321900 370006736667 493342315556 616677894445 740013473334 1110020210001 1233355788890 1480026946668 1850033683335 2220040420002 2466711577780 3083389472225 3700067366670 4440080840004 5550101050005 6166778944450 7400134733340 9250168416675 11100202100010 12333557888900 18500336833350 22200404200020 27750505250025 37000673666700 55501010500050 111002021000100