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1022341330100 = 22521716322716253
BaseRepresentation
bin11101110000010000100…
…10101011010010110100
310121201211201120120211102
432320020102223102310
5113222223340030400
62101353534425232
7133601366632136
oct16701022532264
93551751516742
101022341330100
11364633034972
12146178062218
1375538a596ac
14376a5679056
151b8d7d199d5
hexee084ab4b4

1022341330100 has 144 divisors (see below), whose sum is σ = 2373947932608. Its totient is φ = 380811663360.

The previous prime is 1022341330097. The next prime is 1022341330133. The reversal of 1022341330100 is 10331432201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62893574 + ... + 62909826.

It is an arithmetic number, because the mean of its divisors is an integer number (16485749532).

Almost surely, 21022341330100 is an apocalyptic number.

1022341330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022341330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186973966304).

1022341330100 is an abundant number, since it is smaller than the sum of its proper divisors (1351606602508).

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

1022341330100 is a wasteful number, since it uses less digits than its factorization.

1022341330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16674 (or 16667 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1022341330100 its reverse (10331432201), we get a palindrome (1032672762301).

The spelling of 1022341330100 in words is "one trillion, twenty-two billion, three hundred forty-one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 163 170 227 326 340 425 454 652 815 850 908 1135 1630 1700 2270 2771 3260 3859 4075 4540 5542 5675 7718 8150 11084 11350 13855 15436 16253 16300 19295 22700 27710 32506 37001 38590 55420 65012 69275 74002 77180 81265 96475 138550 148004 162530 185005 192950 276301 277100 325060 370010 385900 406325 552602 629017 740020 812650 925025 1105204 1258034 1381505 1625300 1850050 2516068 2649239 2763010 3145085 3689431 3700100 5298478 5526020 6290170 6907525 7378862 10596956 12580340 13246195 13815050 14757724 15725425 18447155 26492390 27630100 31450850 36894310 45037063 52984780 62720327 62901700 66230975 73788620 90074126 92235775 125440654 132461950 180148252 184471550 225185315 250881308 264923900 313601635 368943100 450370630 601377253 627203270 900741260 1125926575 1202754506 1254406540 1568008175 2251853150 2405509012 3006886265 3136016350 4503706300 6013772530 6272032700 10223413301 12027545060 15034431325 20446826602 30068862650 40893653204 51117066505 60137725300 102234133010 204468266020 255585332525 511170665050 1022341330100