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2201002001120 = 255132107760729
BaseRepresentation
bin100000000001110101111…
…100010100001011100000
321210102011121120110121002
4200001311330110023200
5242030123003013440
64403043143251132
7315005611216106
oct40016574241340
97712147513532
102201002001120
1177949228228a
122b669b149aa8
1312c727341500
1478759a7dc76
153c3be3cb115
hex20075f142e0

2201002001120 has 144 divisors (see below), whose sum is σ = 5683255598160. Its totient is φ = 805081485312.

The previous prime is 2201002001111. The next prime is 2201002001131. The reversal of 2201002001120 is 211002001022.

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 23 ways as a sum of consecutive naturals, for example, 2512916 + ... + 3273644.

It is an arithmetic number, because the mean of its divisors is an integer number (39467052765).

Almost surely, 22201002001120 is an apocalyptic number.

2201002001120 is a gapful number since it is divisible by the number (20) 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 2201002001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841627799080).

2201002001120 is an abundant number, since it is smaller than the sum of its proper divisors (3482253597040).

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

2201002001120 is a wasteful number, since it uses less digits than its factorization.

2201002001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760877 (or 760856 counting only the distinct ones).

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

Adding to 2201002001120 its reverse (211002001022), we get a palindrome (2412004002142).

The spelling of 2201002001120 in words is "two trillion, two hundred one billion, two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 107 130 160 169 208 214 260 338 416 428 520 535 676 845 856 1040 1070 1352 1391 1690 1712 2080 2140 2704 2782 3380 3424 4280 5408 5564 6760 6955 8560 11128 13520 13910 17120 18083 22256 27040 27820 36166 44512 55640 72332 90415 111280 144664 180830 222560 289328 361660 578656 723320 760729 1446640 1521458 2893280 3042916 3803645 6085832 7607290 9889477 12171664 15214580 19778954 24343328 30429160 39557908 49447385 60858320 79115816 81398003 98894770 121716640 128563201 158231632 162796006 197789540 257126402 316463264 325592012 395579080 406990015 514252804 642816005 651184024 791158160 813980030 1028505608 1058174039 1285632010 1302368048 1582316320 1627960060 2057011216 2116348078 2571264020 2604736096 3255920120 4114022432 4232696156 5142528040 5290870195 6511840240 8465392312 10285056080 10581740390 13023680480 13756262507 16930784624 20570112160 21163480780 27512525014 33861569248 42326961560 55025050028 68781312535 84653923120 110050100056 137562625070 169307846240 220100200112 275125250140 440200400224 550250500280 1100501000560 2201002001120