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1020010000200 = 233523623469229
BaseRepresentation
bin11101101011111010101…
…01010110111101001000
310121111211020202202102120
432311331111112331020
5113202440030001300
62100330334131240
7133456540643022
oct16657525267510
93544736682376
101020010000200
11363647065244
12145827350b20
1375256a65149
1437523bb3012
151b7ed30a3a0
hexed7d556f48

1020010000200 has 96 divisors (see below), whose sum is σ = 3162910507200. Its totient is φ = 271927010560.

The previous prime is 1020010000181. The next prime is 1020010000211. The reversal of 1020010000200 is 20000100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 1939186 + ... + 2408414.

It is an arithmetic number, because the mean of its divisors is an integer number (32946984450).

Almost surely, 21020010000200 is an apocalyptic number.

1020010000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020010000200 is an abundant number, since it is smaller than the sum of its proper divisors (2142900507000).

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

1020010000200 is a wasteful number, since it uses less digits than its factorization.

1020010000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472871 (or 472862 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1020010000200 its reverse (20000100201), we get a palindrome (1040010100401).

The spelling of 1020010000200 in words is "one trillion, twenty billion, ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3623 7246 10869 14492 18115 21738 28984 36230 43476 54345 72460 86952 90575 108690 144920 181150 217380 271725 362300 434760 469229 543450 724600 938458 1086900 1407687 1876916 2173800 2346145 2815374 3753832 4692290 5630748 7038435 9384580 11261496 11730725 14076870 18769160 23461450 28153740 35192175 46922900 56307480 70384350 93845800 140768700 281537400 1700016667 3400033334 5100050001 6800066668 8500083335 10200100002 13600133336 17000166670 20400200004 25500250005 34000333340 40800400008 42500416675 51000500010 68000666680 85000833350 102001000020 127501250025 170001666700 204002000040 255002500050 340003333400 510005000100 1020010000200