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2133101310200 = 235272814726717
BaseRepresentation
bin11111000010100110101…
…111101111000011111000
321112220220111102222101122
4133002212233233003320
5234422042413411300
64311533324004412
7310053144655100
oct37024657570370
97486814388348
102133101310200
117527090971a3
122a54ab390708
131261c5b023a3
1475357bb4200
153a748247c85
hex1f0a6bef0f8

2133101310200 has 144 divisors (see below), whose sum is σ = 5770092487320. Its totient is φ = 731231880960.

The previous prime is 2133101310199. The next prime is 2133101310251. The reversal of 2133101310200 is 20131013312.

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, 79827242 + ... + 79853958.

Almost surely, 22133101310200 is an apocalyptic number.

2133101310200 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 2133101310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885046243660).

2133101310200 is an abundant number, since it is smaller than the sum of its proper divisors (3636991177120).

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

2133101310200 is a wasteful number, since it uses less digits than its factorization.

2133101310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34894 (or 34878 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2133101310200 its reverse (20131013312), we get a palindrome (2153232323512).

The spelling of 2133101310200 in words is "two trillion, one hundred thirty-three billion, one hundred one million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 8147 9800 16294 26717 32588 40735 53434 57029 65176 81470 106868 114058 133585 162940 187019 203675 213736 228116 267170 285145 325880 374038 399203 407350 456232 534340 570290 667925 748076 798406 814700 935095 1068680 1140580 1309133 1335850 1425725 1496152 1596812 1629400 1870190 1996015 2281160 2618266 2671700 2851450 3193624 3740380 3992030 4675475 5236532 5343400 5702900 6545665 7480760 7984060 9350950 9980075 10473064 11405800 13091330 15968120 18701900 19960150 26182660 32728325 37403800 39920300 52365320 65456650 79840600 130913300 217663399 261826600 435326798 870653596 1088316995 1523643793 1741307192 2176633990 3047287586 4353267980 5441584975 6094575172 7618218965 8706535960 10665506551 10883169950 12189150344 15236437930 21331013102 21766339900 30472875860 38091094825 42662026204 43532679800 53327532755 60945751720 76182189650 85324052408 106655065510 152364379300 213310131020 266637663775 304728758600 426620262040 533275327550 1066550655100 2133101310200