Search a number
-
+
10310211022000 = 245329177762259
BaseRepresentation
bin1001011000001000100001…
…1101110010110010110000
31100111122110022222221110111
42112002020131302302300
52322410303010201000
633532240123511104
72112613432463251
oct226021035626260
940448408887414
1010310211022000
11331559937627a
1211a6230988494
1359a3305ba686
14279034444b28
1512d2d3c94cba
hex96088772cb0

10310211022000 has 80 divisors (see below), whose sum is σ = 25789748680800. Its totient is φ = 3981874579200.

The previous prime is 10310211021991. The next prime is 10310211022009. The reversal of 10310211022000 is 22011201301.

It is an interprime number because it is at equal distance from previous prime (10310211021991) and next prime (10310211022009).

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

It is not an unprimeable number, because it can be changed into a prime (10310211022009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88823130 + ... + 88939129.

It is an arithmetic number, because the mean of its divisors is an integer number (322371858510).

Almost surely, 210310211022000 is an apocalyptic number.

10310211022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10310211022000 is an abundant number, since it is smaller than the sum of its proper divisors (15479537658800).

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

10310211022000 is a wasteful number, since it uses less digits than its factorization.

10310211022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177762311 (or 177762295 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10310211022000 its reverse (22011201301), we get a palindrome (10332222223301).

The spelling of 10310211022000 in words is "ten trillion, three hundred ten billion, two hundred eleven million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 2000 2320 2900 3625 5800 7250 11600 14500 29000 58000 177762259 355524518 711049036 888811295 1422098072 1777622590 2844196144 3555245180 4444056475 5155105511 7110490360 8888112950 10310211022 14220980720 17776225900 20620422044 22220282375 25775527555 35552451800 41240844088 44440564750 51551055110 71104903600 82481688176 88881129500 103102110220 128877637775 177762259000 206204220440 257755275550 355524518000 412408440880 515510551100 644388188875 1031021102200 1288776377750 2062042204400 2577552755500 5155105511000 10310211022000