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2100020142000 = 243531131818487
BaseRepresentation
bin11110100011110010111…
…101000101111110110000
321102202112000101111211210
4132203302331011332300
5233401320124021000
64244422543440120
7304502312453424
oct36436275057660
97382460344753
102100020142000
1173a682693970
1229abb85b6040
131230532a6a51
14738da474b84
153995dd95350
hex1e8f2f45fb0

2100020142000 has 160 divisors (see below), whose sum is σ = 7385961982464. Its totient is φ = 509095776000.

The previous prime is 2100020141987. The next prime is 2100020142049. The reversal of 2100020142000 is 2410200012.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 15843244 + ... + 15975243.

Almost surely, 22100020142000 is an apocalyptic number.

2100020142000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100020142000 is an abundant number, since it is smaller than the sum of its proper divisors (5285941840464).

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

2100020142000 is a wasteful number, since it uses less digits than its factorization.

2100020142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31818524 (or 31818508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2100020142000 its reverse (2410200012), we get a palindrome (2102430342012).

The spelling of 2100020142000 in words is "two trillion, one hundred billion, twenty million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 31818487 63636974 95455461 127273948 159092435 190910922 254547896 318184870 350003357 381821844 477277305 509095792 636369740 700006714 763643688 795462175 954554610 1050010071 1272739480 1400013428 1527287376 1590924350 1750016785 1909109220 2100020142 2386386525 2545478960 2800026856 3181848700 3500033570 3818218440 3977310875 4200040284 4772773050 5250050355 5600053712 6363697400 7000067140 7636436880 7954621750 8400080568 8750083925 9545546100 10500100710 11931932625 12727394800 14000134280 15909243500 16800161136 17500167850 19091092200 21000201420 23863865250 26250251775 28000268560 31818487000 35000335700 38182184400 42000402840 43750419625 47727730500 52500503550 63636974000 70000671400 84000805680 87500839250 95455461000 105001007100 131251258875 140001342800 175001678500 190910922000 210002014200 262502517750 350003357000 420004028400 525005035500 700006714000 1050010071000 2100020142000