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122103296 = 297231157
BaseRepresentation
bin1110100011100…
…10011000000000
322111202111020022
413101302120000
5222224301141
620041033012
73011601200
oct721623000
9274674208
10122103296
1162a19017
1234a85768
131c3b2393
1412306400
15aabdb4b
hex7472600

122103296 has 120 divisors (see below), whose sum is σ = 294820416. Its totient is φ = 50319360.

The previous prime is 122103277. The next prime is 122103301. The reversal of 122103296 is 692301221.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 777650 + ... + 777806.

Almost surely, 2122103296 is an apocalyptic number.

122103296 is a gapful number since it is divisible by the number (16) 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 122103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147410208).

122103296 is an abundant number, since it is smaller than the sum of its proper divisors (172717120).

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

122103296 is an equidigital number, since it uses as much as digits as its factorization.

122103296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 122103296 is about 11050.0360180408. The cubic root of 122103296 is about 496.1075035796.

The spelling of 122103296 in words is "one hundred twenty-two million, one hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 157 196 217 224 248 256 314 392 434 448 496 512 628 784 868 896 992 1099 1256 1519 1568 1736 1792 1984 2198 2512 3038 3136 3472 3584 3968 4396 4867 5024 6076 6272 6944 7693 7936 8792 9734 10048 12152 12544 13888 15386 15872 17584 19468 20096 24304 25088 27776 30772 34069 35168 38936 40192 48608 55552 61544 68138 70336 77872 80384 97216 111104 123088 136276 140672 155744 194432 238483 246176 272552 281344 311488 388864 476966 492352 545104 562688 622976 777728 953932 984704 1090208 1245952 1907864 1969408 2180416 2491904 3815728 3938816 4360832 7631456 8721664 15262912 17443328 30525824 61051648 122103296