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100220100 = 223521743457
BaseRepresentation
bin1011111100100…
…11110011000100
320222120201010120
411332103303010
5201124020400
613540021540
72324566611
oct576236304
9228521116
10100220100
1151631932
12296918b0
13179bca46
14d44b508
158be9ca0
hex5f93cc4

100220100 has 144 divisors (see below), whose sum is σ = 314854848. Its totient is φ = 24514560.

The previous prime is 100220089. The next prime is 100220101. The reversal of 100220100 is 1022001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (100220101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219072 + ... + 219528.

It is an arithmetic number, because the mean of its divisors is an integer number (2186492).

Almost surely, 2100220100 is an apocalyptic number.

100220100 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 100220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157427424).

100220100 is an abundant number, since it is smaller than the sum of its proper divisors (214634748).

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

100220100 is a wasteful number, since it uses less digits than its factorization.

100220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100220100 is about 10010.9989511537. The cubic root of 100220100 is about 464.4991717258.

Adding to 100220100 its reverse (1022001), we get a palindrome (101242101).

The spelling of 100220100 in words is "one hundred million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 43 50 51 60 68 75 85 86 100 102 129 150 170 172 204 215 255 258 300 340 425 430 457 510 516 645 731 850 860 914 1020 1075 1275 1290 1371 1462 1700 1828 2150 2193 2285 2550 2580 2742 2924 3225 3655 4300 4386 4570 5100 5484 6450 6855 7310 7769 8772 9140 10965 11425 12900 13710 14620 15538 18275 19651 21930 22850 23307 27420 31076 34275 36550 38845 39302 43860 45700 46614 54825 58953 68550 73100 77690 78604 93228 98255 109650 116535 117906 137100 155380 194225 196510 219300 233070 235812 294765 334067 388450 393020 466140 491275 582675 589530 668134 776900 982550 1002201 1165350 1179060 1336268 1473825 1670335 1965100 2004402 2330700 2947650 3340670 4008804 5011005 5895300 6681340 8351675 10022010 16703350 20044020 25055025 33406700 50110050 100220100