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200010112001000 = 2353771402434833
BaseRepresentation
bin101101011110100001111011…
…101011010110001111101000
3222020011210001121010221011222
4231132201323223112033220
5202203431202133013000
61545215213232441212
760062153013024140
oct5536417353261750
9866153047127158
10200010112001000
11588028a2a76374
121a5233719a9208
13877ab46232422
1437567809bd920
15181cac6bc2a85
hexb5e87bad63e8

200010112001000 has 128 divisors (see below), whose sum is σ = 542417766658560. Its totient is φ = 67609051776000.

The previous prime is 200010112000999. The next prime is 200010112001003. The reversal of 200010112001000 is 100211010002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (200010112001003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200720417 + ... + 201714416.

It is an arithmetic number, because the mean of its divisors is an integer number (4237638802020).

Almost surely, 2200010112001000 is an apocalyptic number.

200010112001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200010112001000 is an abundant number, since it is smaller than the sum of its proper divisors (342407654657560).

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

200010112001000 is a wasteful number, since it uses less digits than its factorization.

200010112001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402434932 (or 402434918 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 200010112001000 its reverse (100211010002), we get a palindrome (200110323011002).

The spelling of 200010112001000 in words is "two hundred trillion, ten billion, one hundred twelve million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 71 100 125 140 142 175 200 250 280 284 350 355 497 500 568 700 710 875 994 1000 1400 1420 1750 1775 1988 2485 2840 3500 3550 3976 4970 7000 7100 8875 9940 12425 14200 17750 19880 24850 35500 49700 62125 71000 99400 124250 248500 497000 402434833 804869666 1609739332 2012174165 2817043831 3219478664 4024348330 5634087662 8048696660 10060870825 11268175324 14085219155 16097393320 20121741650 22536350648 28170438310 28572873143 40243483300 50304354125 56340876620 57145746286 70426095775 80486966600 100608708250 112681753240 114291492572 140852191550 142864365715 200010112001 201217416500 228582985144 281704383100 285728731430 352130478875 400020224002 402434833000 563408766200 571457462860 704260957750 714321828575 800040448004 1000050560005 1142914925720 1408521915500 1428643657150 1600080896008 2000101120010 2817043831000 2857287314300 3571609142875 4000202240020 5000252800025 5714574628600 7143218285750 8000404480040 10000505600050 14286436571500 20001011200100 25001264000125 28572873143000 40002022400200 50002528000250 100005056000500 200010112001000