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10202100202000 = 245372331683541
BaseRepresentation
bin1001010001110101110010…
…0011101111101000010000
31100010022101220102020212001
42110131130203233220100
52314122400122431000
633410440301443344
72102035360616230
oct224353443575020
940108356366761
1010202100202000
113283760661053
12118929a870554
13590091606475
14273ada10dcc0
1512a5a796e46a
hex9475c8efa10

10202100202000 has 160 divisors (see below), whose sum is σ = 29418548949504. Its totient is φ = 3345781824000.

The previous prime is 10202100201983. The next prime is 10202100202033. The reversal of 10202100202000 is 20200120201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15519771 + ... + 16163770.

Almost surely, 210202100202000 is an apocalyptic number.

10202100202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202100202000 is an abundant number, since it is smaller than the sum of its proper divisors (19216448747504).

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

10202100202000 is a wasteful number, since it uses less digits than its factorization.

10202100202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31683594 (or 31683578 counting only the distinct ones).

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

Adding to 10202100202000 its reverse (20200120201), we get a palindrome (10222300322201).

The spelling of 10202100202000 in words is "ten trillion, two hundred two billion, one hundred million, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 125 140 161 175 184 200 230 250 280 322 350 368 400 460 500 560 575 644 700 805 875 920 1000 1150 1288 1400 1610 1750 1840 2000 2300 2576 2800 2875 3220 3500 4025 4600 5750 6440 7000 8050 9200 11500 12880 14000 16100 20125 23000 32200 40250 46000 64400 80500 161000 322000 31683541 63367082 126734164 158417705 221784787 253468328 316835410 443569574 506936656 633670820 728721443 792088525 887139148 1108923935 1267341640 1457442886 1584177050 1774278296 2217847870 2534683280 2914885772 3168354100 3548556592 3643607215 3960442625 4435695740 5101050101 5544619675 5829771544 6336708200 7287214430 7920885250 8871391480 10202100202 11089239350 11659543088 12673416400 14574428860 15841770500 17742782960 18218036075 20404200404 22178478700 25505250505 27723098375 29148857720 31683541000 36436072150 40808400808 44356957400 51010501010 55446196750 58297715440 63367082000 72872144300 81616801616 88713914800 91090180375 102021002020 110892393500 127526252525 145744288600 182180360750 204042004040 221784787000 255052505050 291488577200 364360721500 408084008080 443569574000 510105010100 637631262625 728721443000 1020210020200 1275262525250 1457442886000 2040420040400 2550525050500 5101050101000 10202100202000