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202102300300020 = 2235103107305632127
BaseRepresentation
bin101101111100111110011011…
…110100010101001011110100
3222111120210100210112121012020
4231330332123310111023310
5202442221002334100040
61553500303124553140
760366260256112251
oct5574763364251364
9874523323477166
10202102300300020
115943a1167a572a
121a8009435527b0
1388a021ba81553
1437c9b36c40428
1518572281d6cd0
hexb7cf9bd152f4

202102300300020 has 96 divisors (see below), whose sum is σ = 576720490364928. Its totient is φ = 52871912740992.

The previous prime is 202102300299989. The next prime is 202102300300027. The reversal of 202102300300020 is 20003003201202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202102300300027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152154804 + ... + 153477323.

It is an arithmetic number, because the mean of its divisors is an integer number (6007505107968).

Almost surely, 2202102300300020 is an apocalyptic number.

202102300300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202102300300020 is an abundant number, since it is smaller than the sum of its proper divisors (374618190064908).

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

202102300300020 is a wasteful number, since it uses less digits than its factorization.

202102300300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305632349 (or 305632347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 202102300300020 its reverse (20003003201202), we get a palindrome (222105303501222).

The spelling of 202102300300020 in words is "two hundred two trillion, one hundred two billion, three hundred million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 107 206 214 309 321 412 428 515 535 618 642 1030 1070 1236 1284 1545 1605 2060 2140 3090 3210 6180 6420 11021 22042 33063 44084 55105 66126 110210 132252 165315 220420 330630 661260 305632127 611264254 916896381 1222528508 1528160635 1833792762 3056321270 3667585524 4584481905 6112642540 9168963810 18337927620 31480109081 32702637589 62960218162 65405275178 94440327243 98107912767 125920436324 130810550356 157400545405 163513187945 188880654486 196215825534 314801090810 327026375890 377761308972 392431651068 472201636215 490539563835 629602181620 654052751780 944403272430 981079127670 1888806544860 1962158255340 3368371671667 6736743343334 10105115015001 13473486686668 16841858358335 20210230030002 33683716716670 40420460060004 50525575075005 67367433433340 101051150150010 202102300300020