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100200022201000 = 23531719310216787
BaseRepresentation
bin10110110010000110100010…
…101110101101001010101000
3111010210000202211101010211101
4112302012202232231022220
5101113134121140413000
6553035131004411144
730051132646613221
oct2662064256551250
9433700684333741
10100200022201000
1129a21655361307
12b2a3528846ab4
1343baa8ac392b7
141aa59c7c32248
15b8b674b7be6a
hex5b21a2bad2a8

100200022201000 has 128 divisors (see below), whose sum is σ = 261326622211200. Its totient is φ = 35736973747200.

The previous prime is 100200022200961. The next prime is 100200022201001. The reversal of 100200022201000 is 102220002001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100200022201001) 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, 154785394 + ... + 155431393.

It is an arithmetic number, because the mean of its divisors is an integer number (2041614236025).

Almost surely, 2100200022201000 is an apocalyptic number.

100200022201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200022201000 is an abundant number, since it is smaller than the sum of its proper divisors (161126600010200).

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

100200022201000 is a wasteful number, since it uses less digits than its factorization.

100200022201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310216844 (or 310216830 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100200022201000 its reverse (102220002001), we get a palindrome (100302242203001).

The spelling of 100200022201000 in words is "one hundred trillion, two hundred billion, twenty-two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 68 76 85 95 100 125 136 152 170 190 200 250 323 340 380 425 475 500 646 680 760 850 950 1000 1292 1615 1700 1900 2125 2375 2584 3230 3400 3800 4250 4750 6460 8075 8500 9500 12920 16150 17000 19000 32300 40375 64600 80750 161500 323000 310216787 620433574 1240867148 1551083935 2481734296 3102167870 5273685379 5894118953 6204335740 7755419675 10547370758 11788237906 12408671480 15510839350 21094741516 23576475812 26368426895 29470594765 31021678700 38777098375 42189483032 47152951624 52736853790 58941189530 62043357400 77554196750 100200022201 105473707580 117882379060 131842134475 147352973825 155108393500 200400044402 210947415160 235764758120 263684268950 294705947650 310216787000 400800088804 501000111005 527368537900 589411895300 659210672375 736764869125 801600177608 1002000222010 1054737075800 1178823790600 1318421344750 1473529738250 2004000444020 2505000555025 2636842689500 2947059476500 4008000888040 5010001110050 5273685379000 5894118953000 10020002220100 12525002775125 20040004440200 25050005550250 50100011100500 100200022201000