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1010601111040 = 2951931670231
BaseRepresentation
bin11101011010011001000…
…01010010111000000000
310120121112112021122221021
432231030201102320000
5113024202341023130
62052132545035224
7133004431465213
oct16551441227000
93517475248837
101010601111040
1135a658a87594
12143a40325b14
13743b7680501
1436cb036177a
151b44c2b137a
hexeb4c852e00

1010601111040 has 160 divisors (see below), whose sum is σ = 2632885770240. Its totient is φ = 370610380800.

The previous prime is 1010601111029. The next prime is 1010601111193. The reversal of 1010601111040 is 401111060101.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1172725 + ... + 1842955.

It is an arithmetic number, because the mean of its divisors is an integer number (16455536064).

Almost surely, 21010601111040 is an apocalyptic number.

1010601111040 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 1010601111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316442885120).

1010601111040 is an abundant number, since it is smaller than the sum of its proper divisors (1622284659200).

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

1010601111040 is an equidigital number, since it uses as much as digits as its factorization.

1010601111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670304 (or 670288 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1010601111040 its reverse (401111060101), we get a palindrome (1411712171141).

The spelling of 1010601111040 in words is "one trillion, ten billion, six hundred one million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 64 76 80 95 124 128 152 155 160 190 248 256 304 310 320 380 496 512 589 608 620 640 760 992 1178 1216 1240 1280 1520 1984 2356 2432 2480 2560 2945 3040 3968 4712 4864 4960 5890 6080 7936 9424 9728 9920 11780 12160 15872 18848 19840 23560 24320 37696 39680 47120 48640 75392 79360 94240 150784 188480 301568 376960 670231 753920 1340462 1507840 2680924 3351155 5361848 6702310 10723696 12734389 13404620 20777161 21447392 25468778 26809240 41554322 42894784 50937556 53618480 63671945 83108644 85789568 101875112 103885805 107236960 127343890 166217288 171579136 203750224 207771610 214473920 254687780 332434576 343158272 394766059 407500448 415543220 428947840 509375560 664869152 789532118 815000896 831086440 857895680 1018751120 1329738304 1579064236 1630001792 1662172880 1715791360 1973830295 2037502240 2659476608 3158128472 3260003584 3324345760 3947660590 4075004480 5318953216 6316256944 6520007168 6648691520 7895321180 8150008960 10637906432 12632513888 13297383040 15790642360 16300017920 25265027776 26594766080 31581284720 32600035840 50530055552 53189532160 63162569440 101060111104 126325138880 202120222208 252650277760 505300555520 1010601111040