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1002102022140 = 223547379937613
BaseRepresentation
bin11101001010100011110…
…11110101111111111100
310112210121012202012202220
432211101323311333330
5112404301104202030
62044205340045340
7132254010434322
oct16452173657774
93483535665686
101002102022140
11356a9751527a
12142269b33850
1373661913c1b
143670569bd12
151b10107ca10
hexe951ef5ffc

1002102022140 has 96 divisors (see below), whose sum is σ = 2873149332480. Its totient is φ = 260851159296.

The previous prime is 1002102022139. The next prime is 1002102022193. The reversal of 1002102022140 is 412202012001.

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

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, 599974 + ... + 1537586.

It is an arithmetic number, because the mean of its divisors is an integer number (29928638880).

Almost surely, 21002102022140 is an apocalyptic number.

1002102022140 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 1002102022140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436574666240).

1002102022140 is an abundant number, since it is smaller than the sum of its proper divisors (1871047310340).

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

1002102022140 is a wasteful number, since it uses less digits than its factorization.

1002102022140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938051 (or 938049 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1002102022140 its reverse (412202012001), we get a palindrome (1414304034141).

The spelling of 1002102022140 in words is "one trillion, two billion, one hundred two million, twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 379 470 564 705 758 940 1137 1410 1516 1895 2274 2820 3790 4548 5685 7580 11370 17813 22740 35626 53439 71252 89065 106878 178130 213756 267195 356260 534390 937613 1068780 1875226 2812839 3750452 4688065 5625678 9376130 11251356 14064195 18752260 28128390 44067811 56256780 88135622 132203433 176271244 220339055 264406866 355355327 440678110 528813732 661017165 710710654 881356220 1066065981 1322034330 1421421308 1776776635 2132131962 2644068660 3553553270 4264263924 5330329905 7107106540 10660659810 16701700369 21321319620 33403400738 50105101107 66806801476 83508501845 100210202214 167017003690 200420404428 250525505535 334034007380 501051011070 1002102022140