Search a number
-
+
121862693400 = 23352729014927
BaseRepresentation
bin111000101111110010…
…1010010001000011000
3102122112211011020110220
41301133211102020120
53444033322142100
6131552152240040
711542604542260
oct1613745221030
9378484136426
10121862693400
114775534a258
121b74b6a0020
13b651088306
145c8089c7a0
153283794aa0
hex1c5f952218

121862693400 has 96 divisors (see below), whose sum is σ = 431742128640. Its totient is φ = 27854328960.

The previous prime is 121862693383. The next prime is 121862693423. The reversal of 121862693400 is 4396268121.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14503264 + ... + 14511663.

It is an arithmetic number, because the mean of its divisors is an integer number (4497313840).

Almost surely, 2121862693400 is an apocalyptic number.

121862693400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121862693400 is an abundant number, since it is smaller than the sum of its proper divisors (309879435240).

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

121862693400 is a wasteful number, since it uses less digits than its factorization.

121862693400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29014953 (or 29014944 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 121862693400 in words is "one hundred twenty-one billion, eight hundred sixty-two million, six hundred ninety-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 29014927 58029854 87044781 116059708 145074635 174089562 203104489 232119416 290149270 348179124 406208978 435223905 580298540 609313467 696358248 725373175 812417956 870447810 1015522445 1160597080 1218626934 1450746350 1624835912 1740895620 2031044890 2176119525 2437253868 2901492700 3046567335 3481791240 4062089780 4352239050 4874507736 5077612225 5802985400 6093134670 8124179560 8704478100 10155224450 12186269340 15232836675 17408956200 20310448900 24372538680 30465673350 40620897800 60931346700 121862693400