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106022640420 = 22335474177409
BaseRepresentation
bin110001010111101110…
…0010001101100100100
3101010122220022011202000
41202233130101230210
53214113243443140
6120412305045300
710442224400634
oct1425734215444
9333586264660
10106022640420
1140a6701aa84
121866a926830
139cc84a46b8
1451bac846c4
152b57d45a30
hex18af711b24

106022640420 has 96 divisors (see below), whose sum is σ = 336866342400. Its totient is φ = 27671150592.

The previous prime is 106022640407. The next prime is 106022640431. The reversal of 106022640420 is 24046220601.

106022640420 is a `hidden beast` number, since 10 + 6 + 0 + 2 + 2 + 640 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×1060226404202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2063325 + ... + 2114084.

It is an arithmetic number, because the mean of its divisors is an integer number (3509024400).

Almost surely, 2106022640420 is an apocalyptic number.

106022640420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106022640420 is an abundant number, since it is smaller than the sum of its proper divisors (230843701980).

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

106022640420 is a wasteful number, since it uses less digits than its factorization.

106022640420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177474 (or 4177466 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 106022640420 in words is "one hundred six billion, twenty-two million, six hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 6345 8460 12690 25380 4177409 8354818 12532227 16709636 20887045 25064454 37596681 41774090 50128908 62661135 75193362 83548180 112790043 125322270 150386724 187983405 196338223 225580086 250644540 375966810 392676446 451160172 563950215 589014669 751933620 785352892 981691115 1127900430 1178029338 1767044007 1963382230 2255800860 2356058676 2945073345 3534088014 3926764460 5301132021 5890146690 7068176028 8835220035 10602264042 11780293380 17670440070 21204528084 26505660105 35340880140 53011320210 106022640420