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100021031000 = 23531179115099
BaseRepresentation
bin101110100100110110…
…1111101000001011000
3100120011122012211100122
41131021231331001120
53114320340443000
6113540553452412
710140420510242
oct1351155750130
9316148184318
10100021031000
113946729aaa0
1217474a11108
13957cc94217
144babb77092
152905ee1085
hex1749b7d058

100021031000 has 128 divisors (see below), whose sum is σ = 258560640000. Its totient is φ = 35910576000.

The previous prime is 100021030973. The next prime is 100021031039. The reversal of 100021031000 is 130120001.

It is a super-2 number, since 2×1000210310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811451 + ... + 926549.

It is an arithmetic number, because the mean of its divisors is an integer number (2020005000).

Almost surely, 2100021031000 is an apocalyptic number.

100021031000 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 100021031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129280320000).

100021031000 is an abundant number, since it is smaller than the sum of its proper divisors (158539609000).

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

100021031000 is a wasteful number, since it uses less digits than its factorization.

100021031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115210 (or 115196 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100021031000 its reverse (130120001), we get a palindrome (100151151001).

The spelling of 100021031000 in words is "one hundred billion, twenty-one million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 79 88 100 110 125 158 200 220 250 275 316 395 440 500 550 632 790 869 1000 1100 1375 1580 1738 1975 2200 2750 3160 3476 3950 4345 5500 6952 7900 8690 9875 11000 15800 17380 19750 21725 34760 39500 43450 79000 86900 108625 115099 173800 217250 230198 434500 460396 575495 869000 920792 1150990 1266089 2301980 2532178 2877475 4603960 5064356 5754950 6330445 9092821 10128712 11509900 12660890 14387375 18185642 23019800 25321780 28774750 31652225 36371284 45464105 50643560 57549500 63304450 72742568 90928210 100021031 115099000 126608900 158261125 181856420 200042062 227320525 253217800 316522250 363712840 400084124 454641050 500105155 633044500 800168248 909282100 1000210310 1136602625 1266089000 1818564200 2000420620 2273205250 2500525775 4000841240 4546410500 5001051550 9092821000 10002103100 12502628875 20004206200 25005257750 50010515500 100021031000