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1121311500440 = 235192191406561
BaseRepresentation
bin10000010100010011010…
…111111010100010011000
310222012022010102011100212
4100110103113322202120
5121332421221003230
62215042352550252
7144004100330615
oct20242327724230
93865263364325
101121311500440
113a260012277a
12161398b52388
138197c0b6671
143c3b3a2550c
151e27b92e895
hex105135fa898

1121311500440 has 96 divisors (see below), whose sum is σ = 2676674108160. Its totient is φ = 422692300800.

The previous prime is 1121311500437. The next prime is 1121311500469. The reversal of 1121311500440 is 440051131211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2554760 + ... + 2961320.

It is an arithmetic number, because the mean of its divisors is an integer number (27882021960).

Almost surely, 21121311500440 is an apocalyptic number.

1121311500440 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 1121311500440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338337054080).

1121311500440 is an abundant number, since it is smaller than the sum of its proper divisors (1555362607720).

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

1121311500440 is a wasteful number, since it uses less digits than its factorization.

1121311500440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406801 (or 406778 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 1121311500440 its reverse (440051131211), we get a palindrome (1561362631651).

The spelling of 1121311500440 in words is "one trillion, one hundred twenty-one billion, three hundred eleven million, five hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 191 361 380 382 722 760 764 955 1444 1528 1805 1910 2888 3610 3629 3820 7220 7258 7640 14440 14516 18145 29032 36290 68951 72580 137902 145160 275804 344755 406561 551608 689510 813122 1379020 1626244 2032805 2758040 3252488 4065610 7724659 8131220 15449318 16262440 30898636 38623295 61797272 77246590 77653151 146768521 154493180 155306302 293537042 308986360 310612604 388265755 587074084 621225208 733842605 776531510 1174148168 1467685210 1475409869 1553063020 2935370420 2950819738 3106126040 5870740840 5901639476 7377049345 11803278952 14754098690 28032787511 29508197380 56065575022 59016394760 112131150044 140163937555 224262300088 280327875110 560655750220 1121311500440