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100011000002220 = 223253720277408321
BaseRepresentation
bin10110101111010110100000…
…001000001111011010101100
3111010002221212112202112120100
4112233112200020033122230
5101102040012000032340
6552412230310551100
730031361545464456
oct2657264010173254
9433087775675510
10100011000002220
11299594772466aa
12b272975668490
1343a5cc60715b8
141a9a7b5ac32d6
15b867b035e830
hex5af5a020f6ac

100011000002220 has 144 divisors (see below), whose sum is σ = 311719549927968. Its totient is φ = 25935994920960.

The previous prime is 100011000002213. The next prime is 100011000002327. The reversal of 100011000002220 is 22200000110001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9795660 + ... + 17203980.

It is an arithmetic number, because the mean of its divisors is an integer number (2164719096722).

Almost surely, 2100011000002220 is an apocalyptic number.

100011000002220 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 100011000002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155859774963984).

100011000002220 is an abundant number, since it is smaller than the sum of its proper divisors (211708549925748).

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

100011000002220 is a wasteful number, since it uses less digits than its factorization.

100011000002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7410400 (or 7410395 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100011000002220 its reverse (22200000110001), we get a palindrome (122211000112221).

The spelling of 100011000002220 in words is "one hundred trillion, eleven billion, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2027 2220 3330 4054 6081 6660 8108 10135 12162 18243 20270 24324 30405 36486 40540 60810 72972 74999 91215 121620 149998 182430 224997 299996 364860 374995 449994 674991 749990 899988 1124985 1349982 1499980 2249970 2699964 3374955 4499940 6749910 7408321 13499820 14816642 22224963 29633284 37041605 44449926 66674889 74083210 88899852 111124815 133349778 148166420 222249630 266699556 274107877 333374445 444499260 548215754 666748890 822323631 1096431508 1333497780 1370539385 1644647262 2466970893 2741078770 3289294524 4111618155 4933941786 5482157540 8223236310 9867883572 12334854465 15016666667 16446472620 24669708930 30033333334 45050000001 49339417860 60066666668 75083333335 90100000002 135150000003 150166666670 180200000004 225250000005 270300000006 300333333340 450500000010 540600000012 555616666679 675750000015 901000000020 1111233333358 1351500000030 1666850000037 2222466666716 2703000000060 2778083333395 3333700000074 5000550000111 5556166666790 6667400000148 8334250000185 10001100000222 11112333333580 16668500000370 20002200000444 25002750000555 33337000000740 50005500001110 100011000002220