Search a number
-
+
1120202000 = 24531941719
BaseRepresentation
bin100001011000100…
…1110110100010000
32220001212011020222
41002301032310100
54243232431000
6303053452212
736521363021
oct10261166420
92801764228
101120202000
11525363385
122731a1068
1314b105028
14a8abac48
1568526a85
hex42c4ed10

1120202000 has 160 divisors (see below), whose sum is σ = 2924812800. Its totient is φ = 413568000.

The previous prime is 1120201997. The next prime is 1120202021. The reversal of 1120202000 is 2020211.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 1557641 + ... + 1558359.

It is an arithmetic number, because the mean of its divisors is an integer number (18280080).

Almost surely, 21120202000 is an apocalyptic number.

1120202000 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 1120202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462406400).

1120202000 is an abundant number, since it is smaller than the sum of its proper divisors (1804610800).

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

1120202000 is a wasteful number, since it uses less digits than its factorization.

1120202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1120202000 is about 33469.4188775366. The cubic root of 1120202000 is about 1038.5612501772.

Adding to 1120202000 its reverse (2020211), we get a palindrome (1122222211).

The spelling of 1120202000 in words is "one billion, one hundred twenty million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 41 50 76 80 82 95 100 125 152 164 190 200 205 250 304 328 380 400 410 475 500 656 719 760 779 820 950 1000 1025 1438 1520 1558 1640 1900 2000 2050 2375 2876 3116 3280 3595 3800 3895 4100 4750 5125 5752 6232 7190 7600 7790 8200 9500 10250 11504 12464 13661 14380 15580 16400 17975 19000 19475 20500 27322 28760 29479 31160 35950 38000 38950 41000 54644 57520 58958 62320 68305 71900 77900 82000 89875 97375 109288 117916 136610 143800 147395 155800 179750 194750 218576 235832 273220 287600 294790 311600 341525 359500 389500 471664 546440 560101 589580 683050 719000 736975 779000 1092880 1120202 1179160 1366100 1438000 1473950 1558000 1707625 2240404 2358320 2732200 2800505 2947900 3415250 3684875 4480808 5464400 5601010 5895800 6830500 7369750 8961616 11202020 11791600 13661000 14002525 14739500 22404040 27322000 28005050 29479000 44808080 56010100 58958000 70012625 112020200 140025250 224040400 280050500 560101000 1120202000