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11002101311220 = 22354127116503317
BaseRepresentation
bin1010000000011010000001…
…0101110010011011110100
31102221210100100122100101220
42200012200111302123310
52420224300413424340
635222143501550340
72213606220061155
oct240064025623364
942853310570356
1011002101311220
113561a68403158
1212983455753b0
1361a655880986
142a070c68392c
151412cadceed0
hexa01a05726f4

11002101311220 has 96 divisors (see below), whose sum is σ = 31673696011776. Its totient is φ = 2851773004800.

The previous prime is 11002101311219. The next prime is 11002101311221. The reversal of 11002101311220 is 2211310120011.

It is an interprime number because it is at equal distance from previous prime (11002101311219) and next prime (11002101311221).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11002101311220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002101311221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7584999 + ... + 8918318.

It is an arithmetic number, because the mean of its divisors is an integer number (329934333456).

Almost surely, 211002101311220 is an apocalyptic number.

11002101311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002101311220 is an abundant number, since it is smaller than the sum of its proper divisors (20671594700556).

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

11002101311220 is a wasteful number, since it uses less digits than its factorization.

11002101311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16503641 (or 16503639 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11002101311220 its reverse (2211310120011), we get a palindrome (13213411431231).

The spelling of 11002101311220 in words is "eleven trillion, two billion, one hundred one million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 271 410 492 542 615 813 820 1084 1230 1355 1626 2460 2710 3252 4065 5420 8130 11111 16260 22222 33333 44444 55555 66666 111110 133332 166665 222220 333330 666660 16503317 33006634 49509951 66013268 82516585 99019902 165033170 198039804 247549755 330066340 495099510 676635997 990199020 1353271994 2029907991 2706543988 3383179985 4059815982 4472398907 6766359970 8119631964 8944797814 10149539955 13417196721 13532719940 17889595628 20299079910 22361994535 26834393442 40598159820 44723989070 53668786884 67085983605 89447978140 134171967210 183368355187 268343934420 366736710374 550105065561 733473420748 916841775935 1100210131122 1833683551870 2200420262244 2750525327805 3667367103740 5501050655610 11002101311220