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1134214031000 = 235325131314437
BaseRepresentation
bin10000100000010100011…
…011001010011010011000
311000102121022210121220002
4100200110123022122120
5122040332242443000
62225014542552132
7144641611123031
oct20402433123230
94012538717802
101134214031000
113a8021284976
12163999b98648
1382c5721c62b
143cc7945ba88
151e78452b8d5
hex108146ca698

1134214031000 has 128 divisors (see below), whose sum is σ = 2673333149760. Its totient is φ = 450403200000.

The previous prime is 1134214030981. The next prime is 1134214031003. The reversal of 1134214031000 is 1304124311.

It is a super-2 number, since 2×11342140310002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134214031003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78555782 + ... + 78570218.

Almost surely, 21134214031000 is an apocalyptic number.

1134214031000 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 1134214031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336666574880).

1134214031000 is an abundant number, since it is smaller than the sum of its proper divisors (1539119118760).

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

1134214031000 is a wasteful number, since it uses less digits than its factorization.

1134214031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15022 (or 15008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1134214031000 its reverse (1304124311), we get a palindrome (1135518155311).

The spelling of 1134214031000 in words is "one trillion, one hundred thirty-four billion, two hundred fourteen million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 251 313 500 502 626 1000 1004 1252 1255 1565 2008 2504 2510 3130 5020 6260 6275 7825 10040 12520 12550 14437 15650 25100 28874 31300 31375 39125 50200 57748 62600 62750 72185 78250 78563 115496 125500 144370 156500 157126 251000 288740 313000 314252 360925 392815 577480 628504 721850 785630 1443700 1571260 1804625 1964075 2887400 3142520 3609250 3623687 3928150 4518781 7218500 7247374 7856300 9037562 9820375 14437000 14494748 15712600 18075124 18118435 19640750 22593905 28989496 36150248 36236870 39281500 45187810 72473740 78563000 90375620 90592175 112969525 144947480 180751240 181184350 225939050 362368700 451878100 452960875 564847625 724737400 903756200 905921750 1129695250 1134214031 1811843500 2259390500 2268428062 3623687000 4518781000 4536856124 5671070155 9073712248 11342140310 22684280620 28355350775 45368561240 56710701550 113421403100 141776753875 226842806200 283553507750 567107015500 1134214031000