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161038100 = 22521679643
BaseRepresentation
bin10011001100100…
…11111100010100
3102020000120202002
421212103330110
5312211204400
623551334432
73663541556
oct1146237424
9366016662
10161038100
11829a1343
1245b21418
1327495122
141755d4d6
15e20eed5
hex9993f14

161038100 has 36 divisors (see below), whose sum is σ = 351581664. Its totient is φ = 64022880.

The previous prime is 161038099. The next prime is 161038123. The reversal of 161038100 is 1830161.

161038100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1610381002 = 51866539303220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 11879 + ... + 21521.

Almost surely, 2161038100 is an apocalyptic number.

161038100 is a gapful number since it is divisible by the number (10) 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 161038100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175790832).

161038100 is an abundant number, since it is smaller than the sum of its proper divisors (190543564).

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

161038100 is a wasteful number, since it uses less digits than its factorization.

161038100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9824 (or 9817 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 161038100 is about 12690.0788019618. The cubic root of 161038100 is about 544.0550919191.

Adding to 161038100 its reverse (1830161), we get a palindrome (162868261).

The spelling of 161038100 in words is "one hundred sixty-one million, thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 334 668 835 1670 3340 4175 8350 9643 16700 19286 38572 48215 96430 192860 241075 482150 964300 1610381 3220762 6441524 8051905 16103810 32207620 40259525 80519050 161038100