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1131023311002 = 2321347611316823
BaseRepresentation
bin10000011101010110001…
…111100010000010011010
311000010100221220020220100
4100131112033202002122
5122012313431423002
62223330202440230
7144466545343254
oct20352617420232
94003327806810
101131023311002
113a673419a7a2
12163249503076
138286917ca30
143ca557aacd4
151e64936311c
hex107563e209a

1131023311002 has 96 divisors (see below), whose sum is σ = 2695805618688. Its totient is φ = 340526803968.

The previous prime is 1131023310979. The next prime is 1131023311003. The reversal of 1131023311002 is 2001133201311.

1131023311002 is a `hidden beast` number, since 11 + 310 + 2 + 331 + 10 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1131023311003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67222363 + ... + 67239185.

It is an arithmetic number, because the mean of its divisors is an integer number (28081308528).

Almost surely, 21131023311002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131023311002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347902809344).

1131023311002 is an abundant number, since it is smaller than the sum of its proper divisors (1564782307686).

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

1131023311002 is a wasteful number, since it uses less digits than its factorization.

1131023311002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23004 (or 23001 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1131023311002 its reverse (2001133201311), we get a palindrome (3132156512313).

The spelling of 1131023311002 in words is "one trillion, one hundred thirty-one billion, twenty-three million, three hundred eleven thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 47 78 94 117 141 234 282 423 611 846 1222 1833 3666 5499 6113 10998 12226 16823 18339 33646 36678 50469 55017 79469 100938 110034 151407 158938 218699 238407 287311 302814 437398 476814 574622 656097 715221 790681 861933 1312194 1430442 1581362 1723866 1968291 2372043 2585799 3735043 3936582 4744086 5171598 7116129 7470086 10278853 11205129 14232258 20557706 22410258 30836559 33615387 61673118 67230774 92509677 102838999 185019354 205677998 308516997 617033994 925550991 1336906987 1851101982 2673813974 4010720961 4833432953 8021441922 9666865906 12032162883 14500298859 24064325766 29000597718 43500896577 62834628389 87001793154 125669256778 188503885167 377007770334 565511655501 1131023311002