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1130421014140 = 2251153124977621
BaseRepresentation
bin10000011100110010010…
…101111100111001111100
311000001210222120101221011
4100130302111330321330
5122010100234423030
62223150325245004
7144445613036605
oct20346225747174
94001728511834
101130421014140
113a64552131a0
121630bb863764
13827a145b862
143c9d97c6dac
151e61153eb2a
hex1073257ce7c

1130421014140 has 96 divisors (see below), whose sum is σ = 2640700440000. Its totient is φ = 402978201600.

The previous prime is 1130421014123. The next prime is 1130421014167. The reversal of 1130421014140 is 414101240311.

It is a super-3 number, since 3×11304210141403 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14524530 + ... + 14602150.

It is an arithmetic number, because the mean of its divisors is an integer number (27507296250).

Almost surely, 21130421014140 is an apocalyptic number.

1130421014140 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 1130421014140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320350220000).

1130421014140 is an abundant number, since it is smaller than the sum of its proper divisors (1510279425860).

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

1130421014140 is a wasteful number, since it uses less digits than its factorization.

1130421014140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78943 (or 78941 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1130421014140 its reverse (414101240311), we get a palindrome (1544522254451).

The spelling of 1130421014140 in words is "one trillion, one hundred thirty billion, four hundred twenty-one million, fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 1249 2332 2498 2915 4996 5830 6245 11660 12490 13739 24980 27478 54956 66197 68695 77621 132394 137390 155242 264788 274780 310484 330985 388105 661970 728167 776210 853831 1323940 1456334 1552420 1707662 2912668 3415324 3640835 4113913 4269155 7281670 8227826 8538310 14563340 16455652 17076620 20569565 41139130 45253043 82278260 90506086 96948629 181012172 193897258 226265215 387794516 452530430 484743145 905060860 969486290 1066434919 1938972580 2132869838 4265739676 5138277337 5332174595 10276554674 10664349190 20553109348 21328698380 25691386685 51382773370 56521050707 102765546740 113042101414 226084202828 282605253535 565210507070 1130421014140