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202420134320 = 24519421316321
BaseRepresentation
bin1011110010000100101…
…1100010000110110000
3201100111000012020122212
42330201023202012300
511304024023244240
6232553541551252
720424105516125
oct2744113420660
9640430166585
10202420134320
1178933985a08
1233292115528
131611b837411
149b236a274c
1553eab76165
hex2f212e21b0

202420134320 has 80 divisors (see below), whose sum is σ = 496574928480. Its totient is φ = 76524134400.

The previous prime is 202420134313. The next prime is 202420134331. The reversal of 202420134320 is 23431024202.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481760 + ... + 798080.

It is an arithmetic number, because the mean of its divisors is an integer number (6207186606).

Almost surely, 2202420134320 is an apocalyptic number.

202420134320 is a gapful number since it is divisible by the number (20) 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 202420134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248287464240).

202420134320 is an abundant number, since it is smaller than the sum of its proper divisors (294154794160).

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

202420134320 is a wasteful number, since it uses less digits than its factorization.

202420134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316774 (or 316768 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 202420134320 its reverse (23431024202), we get a palindrome (225851158522).

The spelling of 202420134320 in words is "two hundred two billion, four hundred twenty million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 421 760 842 1520 1684 2105 3368 4210 6736 7999 8420 15998 16840 31996 33680 39995 63992 79990 127984 159980 316321 319960 632642 639920 1265284 1581605 2530568 3163210 5061136 6010099 6326420 12020198 12652840 24040396 25305680 30050495 48080792 60100990 96161584 120201980 133171141 240403960 266342282 480807920 532684564 665855705 1065369128 1331711410 2130738256 2530251679 2663422820 5060503358 5326845640 10121006716 10653691280 12651258395 20242013432 25302516790 40484026864 50605033580 101210067160 202420134320