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1071342073020 = 2235157958711863
BaseRepresentation
bin11111001011100001111…
…01101011010010111100
310210102022200010020102210
433211300331223102330
5120023102032314040
62140100122420420
7140254566240012
oct17456075532274
93712280106383
101071342073020
1138339874131a
12153772361710
137a04778c42b
1439bd33b28b2
151cd04ac8480
hexf970f6b4bc

1071342073020 has 96 divisors (see below), whose sum is σ = 3019433937408. Its totient is φ = 283817993472.

The previous prime is 1071342073007. The next prime is 1071342073027. The reversal of 1071342073020 is 203702431701.

It is a super-2 number, since 2×10713420730202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071342073027) 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, 90303609 + ... + 90315471.

It is an arithmetic number, because the mean of its divisors is an integer number (31452436848).

Almost surely, 21071342073020 is an apocalyptic number.

1071342073020 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 1071342073020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509716968704).

1071342073020 is an abundant number, since it is smaller than the sum of its proper divisors (1948091864388).

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

1071342073020 is a wasteful number, since it uses less digits than its factorization.

1071342073020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21619 (or 21617 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 1071342073020 in words is "one trillion, seventy-one billion, three hundred forty-two million, seventy-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 9420 9587 11863 19174 23726 28761 35589 38348 47452 47935 57522 59315 71178 95870 115044 118630 142356 143805 177945 191740 237260 287610 355890 575220 711780 1505159 1862491 3010318 3724982 4515477 5587473 6020636 7449964 7525795 9030954 9312455 11174946 15051590 18061908 18624910 22349892 22577385 27937365 30103180 37249820 45154770 55874730 90309540 111749460 113730581 227461162 341191743 454922324 568652905 682383486 1137305810 1364766972 1705958715 2274611620 3411917430 6823834860 17855701217 35711402434 53567103651 71422804868 89278506085 107134207302 178557012170 214268414604 267835518255 357114024340 535671036510 1071342073020