Search a number
-
+
1035522100000 = 255523450227
BaseRepresentation
bin11110001000110011110…
…11010100101100100000
310122222212022112001222101
433010121323110230200
5113431222124200000
62111413504220144
7134546126422543
oct17043173245440
93588768461871
101035522100000
1136a187258433
1214883630a654
137685971181b
143819601c85a
151be0a077e6a
hexf119ed4b20

1035522100000 has 144 divisors (see below), whose sum is σ = 2658988938816. Its totient is φ = 396198880000.

The previous prime is 1035522099961. The next prime is 1035522100007. The reversal of 1035522100000 is 12255301.

It is a super-3 number, since 3×10355221000003 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1035522100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2074887 + ... + 2525113.

It is an arithmetic number, because the mean of its divisors is an integer number (18465200964).

Almost surely, 21035522100000 is an apocalyptic number.

1035522100000 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 1035522100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329494469408).

1035522100000 is an abundant number, since it is smaller than the sum of its proper divisors (1623466838816).

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

1035522100000 is an frugal number, since it uses more digits than its factorization.

1035522100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450285 (or 450257 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 1035522100000 its reverse (12255301), we get a palindrome (1035534355301).

The spelling of 1035522100000 in words is "one trillion, thirty-five billion, five hundred twenty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 625 736 800 920 1000 1150 1250 1840 2000 2300 2500 2875 3125 3680 4000 4600 5000 5750 6250 9200 10000 11500 12500 14375 18400 20000 23000 25000 28750 46000 50000 57500 71875 92000 100000 115000 143750 230000 287500 450227 460000 575000 900454 1150000 1800908 2251135 2300000 3601816 4502270 7203632 9004540 10355221 11255675 14407264 18009080 20710442 22511350 36018160 41420884 45022700 51776105 56278375 72036320 82841768 90045400 103552210 112556750 165683536 180090800 207104420 225113500 258880525 281391875 331367072 360181600 414208840 450227000 517761050 562783750 828417680 900454000 1035522100 1125567500 1294402625 1406959375 1656835360 1800908000 2071044200 2251135000 2588805250 2813918750 4142088400 4502270000 5177610500 5627837500 6472013125 8284176800 9004540000 10355221000 11255675000 12944026250 20710442000 22511350000 25888052500 32360065625 41420884000 45022700000 51776105000 64720131250 103552210000 129440262500 207104420000 258880525000 517761050000 1035522100000