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1010100700 = 225275601
BaseRepresentation
bin111100001101001…
…110100111011100
32121101200102200001
4330031032213130
54032041210300
6244121544044
734013500000
oct7415164734
92541612601
101010100700
114791a2674
12242345024
1313136582b
149821a700
155da2916a
hex3c34e9dc

1010100700 has 108 divisors (see below), whose sum is σ = 2561471472. Its totient is φ = 345744000.

The previous prime is 1010100671. The next prime is 1010100719. The reversal of 1010100700 is 70010101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1680400 + ... + 1681000.

Almost surely, 21010100700 is an apocalyptic number.

1010100700 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 1010100700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280735736).

1010100700 is an abundant number, since it is smaller than the sum of its proper divisors (1551370772).

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

1010100700 is an frugal number, since it uses more digits than its factorization.

1010100700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 1010100700 is about 31782.0814296358. The cubic root of 1010100700 is about 1003.3556271712.

Adding to 1010100700 its reverse (70010101), we get a palindrome (1080110801).

The spelling of 1010100700 in words is "one billion, ten million, one hundred thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 601 686 700 980 1202 1225 1372 1715 2401 2404 2450 3005 3430 4207 4802 4900 6010 6860 8414 8575 9604 12005 12020 15025 16807 16828 17150 21035 24010 29449 30050 33614 34300 42070 48020 58898 60025 60100 67228 84035 84140 105175 117796 120050 147245 168070 206143 210350 240100 294490 336140 412286 420175 420700 588980 736225 824572 840350 1030715 1443001 1472450 1680700 2061430 2886002 2944900 4122860 5153575 5772004 7215005 10101007 10307150 14430010 20202014 20614300 28860020 36075025 40404028 50505035 72150050 101010070 144300100 202020140 252525175 505050350 1010100700