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2101315421040 = 2435113931202481
BaseRepresentation
bin11110100101000000001…
…010001100001101110000
321102212212021200111122120
4132211000022030031300
5233411443221433130
64245155254034240
7304546361242233
oct36450012141560
97385767614576
102101315421040
11740187857210
1229b2ba348980
131231cb74ac54
14739c04c741a
15399d7951910
hex1e94028c370

2101315421040 has 160 divisors (see below), whose sum is σ = 7108109551872. Its totient is φ = 509277696000.

The previous prime is 2101315421033. The next prime is 2101315421069. The reversal of 2101315421040 is 401245131012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2101315421040.

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, 10276600 + ... + 10479080.

Almost surely, 22101315421040 is an apocalyptic number.

2101315421040 is a gapful number since it is divisible by the number (20) 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 2101315421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554054775936).

2101315421040 is an abundant number, since it is smaller than the sum of its proper divisors (5006794130832).

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

2101315421040 is a wasteful number, since it uses less digits than its factorization.

2101315421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206439 (or 206433 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 2101315421040 in words is "two trillion, one hundred one billion, three hundred fifteen million, four hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3931 7862 11793 15724 19655 23586 31448 39310 43241 47172 58965 62896 78620 86482 94344 117930 129723 157240 172964 188688 202481 216205 235860 259446 314480 345928 404962 432410 471720 518892 607443 648615 691856 809924 864820 943440 1012405 1037784 1214886 1297230 1619848 1729640 2024810 2075568 2227291 2429772 2594460 3037215 3239696 3459280 4049620 4454582 4859544 5188920 6074430 6681873 8099240 8909164 9719088 10377840 11136455 12148860 13363746 16198480 17818328 22272910 24297720 26727492 33409365 35636656 44545820 48595440 53454984 66818730 89091640 106909968 133637460 178183280 267274920 534549840 795952811 1591905622 2387858433 3183811244 3979764055 4775716866 6367622488 7959528110 8755480921 9551433732 11939292165 12735244976 15919056220 17510961842 19102867464 23878584330 26266442763 31838112440 35021923684 38205734928 43777404605 47757168660 52532885526 63676224880 70043847368 87554809210 95514337320 105065771052 131332213815 140087694736 175109618420 191028674640 210131542104 262664427630 350219236840 420263084208 525328855260 700438473680 1050657710520 2101315421040