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1121414402020 = 2251121738371171
BaseRepresentation
bin10000010100011001100…
…000011100111111100100
310222012120022001002210111
4100110121200130333210
5121333124041331040
62215100510302404
7144006460066333
oct20243140347744
93865508032714
101121414402020
113a2653216200
121614074b7a04
1381997504a83
143c3c356dd1a
151e2859a8dea
hex1051981cfe4

1121414402020 has 144 divisors (see below), whose sum is σ = 2747981666304. Its totient is φ = 382792115200.

The previous prime is 1121414401981. The next prime is 1121414402047. The reversal of 1121414402020 is 202044141211.

It is a super-2 number, since 2×11214144020202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1121414401982 and 1121414402000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15721035 + ... + 15792205.

It is an arithmetic number, because the mean of its divisors is an integer number (19083206016).

Almost surely, 21121414402020 is an apocalyptic number.

1121414402020 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 1121414402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373990833152).

1121414402020 is an abundant number, since it is smaller than the sum of its proper divisors (1626567264284).

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

1121414402020 is a wasteful number, since it uses less digits than its factorization.

1121414402020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71602 (or 71589 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1121414402020 its reverse (202044141211), we get a palindrome (1323458543231).

The spelling of 1121414402020 in words is "one trillion, one hundred twenty-one billion, four hundred fourteen million, four hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 383 484 605 748 766 935 1210 1532 1870 1915 2057 2420 3740 3830 4114 4213 6511 7660 8228 8426 10285 13022 16852 20570 21065 26044 32555 41140 42130 46343 65110 71171 71621 84260 92686 130220 142342 143242 185372 231715 284684 286484 355855 358105 463430 711710 716210 782881 787831 926860 1209907 1423420 1432420 1565762 1575662 2419814 3131524 3151324 3914405 3939155 4839628 6049535 7828810 7878310 8611691 12099070 13308977 15657620 15756620 17223382 24198140 26617954 27258493 34446764 43058455 53235908 54516986 66544885 86116910 109033972 133089770 136292465 146398747 172233820 266179540 272584930 292797494 299843423 463394381 545169860 585594988 599686846 731993735 926788762 1199373692 1463987470 1499217115 1853577524 2316971905 2927974940 2998434230 3298277653 4633943810 5097338191 5996868460 6596555306 9267887620 10194676382 13193110612 16491388265 20389352764 25486690955 32982776530 50973381910 56070720101 65965553060 101946763820 112141440202 224282880404 280353600505 560707201010 1121414402020