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202000102201002 = 237235631907194767
BaseRepresentation
bin101101111011011111010000…
…010101100001011010101010
3222111020000120102210020221210
4231323133100111201122222
5202434032202130413002
61553341322121013550
760356011561442640
oct5573372025413252
9874200512706853
10202000102201002
11593aa842619276
121a7a4b816242b6
1388936b2a57801
1437c4bddcb9190
15185474600896c
hexb7b7d05616aa

202000102201002 has 128 divisors (see below), whose sum is σ = 482900387364864. Its totient is φ = 55077761838528.

The previous prime is 202000102200977. The next prime is 202000102201021. The reversal of 202000102201002 is 200102201000202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1037039823 + ... + 1037234589.

It is an arithmetic number, because the mean of its divisors is an integer number (3772659276288).

Almost surely, 2202000102201002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202000102201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241450193682432).

202000102201002 is an abundant number, since it is smaller than the sum of its proper divisors (280900285163862).

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

202000102201002 is a wasteful number, since it uses less digits than its factorization.

202000102201002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197272.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202000102201002 its reverse (200102201000202), we get a palindrome (402102303201204).

The spelling of 202000102201002 in words is "two hundred two trillion, one hundred two million, two hundred one thousand, two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 563 966 1126 1689 1907 3378 3814 3941 5721 7882 11442 11823 12949 13349 23646 25898 26698 38847 40047 43861 77694 80094 87722 90643 131583 181286 194767 263166 271929 307027 389534 543858 584301 614054 921081 1073641 1168602 1363369 1842162 2147282 2726738 3220923 4090107 4479641 6441846 7515487 8180214 8959282 13438923 15030974 22546461 24693743 26877846 31357487 45092922 49387486 62714974 74081229 94072461 109653821 148162458 172856201 188144922 219307642 328961463 345712402 371420669 518568603 657922926 742841338 767576747 1037137206 1114262007 1535153494 2228524014 2302730241 2522037883 2599944683 4605460482 5044075766 5199889366 7566113649 7799834049 8542675387 15132227298 15599668098 17085350774 17654265181 25628026161 35308530362 51256052322 52962795543 59798727709 105925591086 119597455418 179396183127 209109836647 358792366254 418219673294 627329509941 1254659019882 1463768856529 2927537713058 4391306569587 4809526242881 8782613139174 9619052485762 14428578728643 28857157457286 33666683700167 67333367400334 101000051100501 202000102201002