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1022001102200 = 2352132149202931
BaseRepresentation
bin11101101111101000000…
…00110011110101111000
310121200222000101012220002
432313310000303311320
5113221024240232300
62101300102252132
7133560066015101
oct16676400636570
93550860335802
101022001102200
11364478a84691
121460a2127048
13754b3415400
14376723d33a8
151b8b80115d5
hexedf4033d78

1022001102200 has 144 divisors (see below), whose sum is σ = 2590274781000. Its totient is φ = 374819827200.

The previous prime is 1022001102107. The next prime is 1022001102211. The reversal of 1022001102200 is 22011002201.

It is a happy number.

It is a congruent number.

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, 4934735 + ... + 5137665.

Almost surely, 21022001102200 is an apocalyptic number.

1022001102200 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 1022001102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295137390500).

1022001102200 is an abundant number, since it is smaller than the sum of its proper divisors (1568273678800).

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

1022001102200 is a wasteful number, since it uses less digits than its factorization.

1022001102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203122 (or 203100 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022001102200 its reverse (22011002201), we get a palindrome (1044012104401).

Subtracting from 1022001102200 its reverse (22011002201), we obtain a palindrome (999990099999).

The spelling of 1022001102200 in words is "one trillion, twenty-two billion, one million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 149 169 200 260 298 325 338 520 596 650 676 745 845 1192 1300 1352 1490 1690 1937 2600 2980 3380 3725 3874 4225 5960 6760 7450 7748 8450 9685 14900 15496 16900 19370 25181 29800 33800 38740 48425 50362 77480 96850 100724 125905 193700 201448 202931 251810 387400 405862 503620 629525 811724 1007240 1014655 1259050 1623448 2029310 2518100 2638103 4058620 5036200 5073275 5276206 8117240 10146550 10552412 13190515 20293100 21104824 26381030 30236719 34295339 40586200 52762060 60473438 65952575 68590678 105524120 120946876 131905150 137181356 151183595 171476695 241893752 263810300 274362712 302367190 342953390 393077347 527620600 604734380 685906780 755917975 786154694 857383475 1209468760 1371813560 1511835950 1572309388 1714766950 1965386735 3023671900 3144618776 3429533900 3930773470 5110005511 6047343800 6859067800 7861546940 9826933675 10220011022 15723093880 19653867350 20440022044 25550027555 39307734700 40880044088 51100055110 78615469400 102200110220 127750137775 204400220440 255500275550 511000551100 1022001102200