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100320396 = 223112973359
BaseRepresentation
bin1011111101011…
…00010010001100
320222202210201020
411332230102030
5201140223041
613542114140
72325465201
oct576542214
9228683636
10100320396
11516a0220
122971b950
1317a265a7
14d475ca8
158c19866
hex5fac48c

100320396 has 96 divisors (see below), whose sum is σ = 268531200. Its totient is φ = 28869120.

The previous prime is 100320391. The next prime is 100320401. The reversal of 100320396 is 693023001.

It is an interprime number because it is at equal distance from previous prime (100320391) and next prime (100320401).

It is not an unprimeable number, because it can be changed into a prime (100320391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279265 + ... + 279623.

It is an arithmetic number, because the mean of its divisors is an integer number (2797200).

Almost surely, 2100320396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100320396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134265600).

100320396 is an abundant number, since it is smaller than the sum of its proper divisors (168210804).

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

100320396 is a wasteful number, since it uses less digits than its factorization.

100320396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 100320396 is about 10016.0069888155. The cubic root of 100320396 is about 464.6540703827.

Adding to 100320396 its reverse (693023001), we get a palindrome (793343397).

The spelling of 100320396 in words is "one hundred million, three hundred twenty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 73 87 116 132 146 174 219 292 319 348 359 438 638 718 803 876 957 1077 1276 1436 1606 1914 2117 2154 2409 3212 3828 3949 4234 4308 4818 6351 7898 8468 9636 10411 11847 12702 15796 20822 23287 23694 25404 26207 31233 41644 46574 47388 52414 62466 69861 78621 93148 104828 114521 124932 139722 157242 229042 279444 288277 314484 343563 458084 576554 687126 760003 864831 1153108 1374252 1520006 1729662 2280009 3040012 3459324 4560018 8360033 9120036 16720066 25080099 33440132 50160198 100320396