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1020001102110 = 232517797836471
BaseRepresentation
bin11101101011111001100…
…11011010100100011110
310121111210122000200112200
432311330303122210132
5113202430240231420
62100325415312330
7133456402213044
oct16657463324436
93544718020480
101020001102110
11363642037a51
1214582437b6a6
1375254c6acc3
1437522938394
151b7ec64db90
hexed7ccda91e

1020001102110 has 96 divisors (see below), whose sum is σ = 2811529611072. Its totient is φ = 255678766080.

The previous prime is 1020001102073. The next prime is 1020001102117. The reversal of 1020001102110 is 112011000201.

It is a happy number.

It is a super-2 number, since 2×10200011021102 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1020001102092 and 1020001102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020001102117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801175 + ... + 1637645.

It is an arithmetic number, because the mean of its divisors is an integer number (29286766782).

Almost surely, 21020001102110 is an apocalyptic number.

1020001102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020001102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405764805536).

1020001102110 is an abundant number, since it is smaller than the sum of its proper divisors (1791528508962).

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

1020001102110 is a wasteful number, since it uses less digits than its factorization.

1020001102110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837298 (or 837295 counting only the distinct ones).

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

Adding to 1020001102110 its reverse (112011000201), we get a palindrome (1132012102311).

The spelling of 1020001102110 in words is "one trillion, twenty billion, one million, one hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 797 1530 1594 2391 3985 4782 7173 7970 11955 13549 14346 23910 27098 35865 40647 67745 71730 81294 121941 135490 203235 243882 406470 609705 836471 1219410 1672942 2509413 4182355 5018826 7528239 8364710 12547065 14220007 15056478 25094130 28440014 37641195 42660021 71100035 75282390 85320042 127980063 142200070 213300105 255960126 426600210 639900315 666667387 1279800630 1333334774 2000002161 3333336935 4000004322 6000006483 6666673870 10000010805 11333345579 12000012966 20000021610 22666691158 30000032415 34000036737 56666727895 60000064830 68000073474 102000110211 113333455790 170000183685 204000220422 340000367370 510000551055 1020001102110