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100100203320 = 233513471365251
BaseRepresentation
bin101110100111001101…
…1111110001100111000
3100120101011012012100210
41131032123332030320
53120001123001240
6113552502431120
710142401455315
oct1351633761470
9316334165323
10100100203320
11394a7a56367
12174974324a0
1395934c4950
144bb84a5d0c
15290ce2e780
hex174e6fe338

100100203320 has 128 divisors (see below), whose sum is σ = 330281763840. Its totient is φ = 24115776000.

The previous prime is 100100203309. The next prime is 100100203391. The reversal of 100100203320 is 23302001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100100203296 and 100100203305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609306 + ... + 755945.

It is an arithmetic number, because the mean of its divisors is an integer number (2580326280).

Almost surely, 2100100203320 is an apocalyptic number.

100100203320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100203320 is an abundant number, since it is smaller than the sum of its proper divisors (230181560520).

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

100100203320 is a wasteful number, since it uses less digits than its factorization.

100100203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365325 (or 1365321 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100100203320 its reverse (23302001001), we get a palindrome (123402204321).

The spelling of 100100203320 in words is "one hundred billion, one hundred million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 47 52 60 65 78 94 104 120 130 141 156 188 195 235 260 282 312 376 390 470 520 564 611 705 780 940 1128 1222 1410 1560 1833 1880 2444 2820 3055 3666 4888 5640 6110 7332 9165 12220 14664 18330 24440 36660 73320 1365251 2730502 4095753 5461004 6826255 8191506 10922008 13652510 16383012 17748263 20478765 27305020 32766024 35496526 40957530 53244789 54610040 64166797 70993052 81915060 88741315 106489578 128333594 141986104 163830120 177482630 192500391 212979156 256667188 266223945 320833985 354965260 385000782 425958312 513334376 532447890 641667970 709930520 770001564 834168361 962501955 1064895780 1283335940 1540003128 1668336722 1925003910 2129791560 2502505083 2566671880 3336673444 3850007820 4170841805 5005010166 6673346888 7700015640 8341683610 10010020332 12512525415 16683367220 20020040664 25025050830 33366734440 50050101660 100100203320