Search a number
-
+
100553611920 = 24354113973517
BaseRepresentation
bin101110110100101110…
…1100101101010010000
3100121112202100202000220
41131221131211222100
53121413211040140
6114105500513040
710156545412266
oct1355135455220
9317482322026
10100553611920
113970a98aa13
12175a324b780
139636415c68
144c1c7b0436
152937b42bd0
hex1769765a90

100553611920 has 160 divisors (see below), whose sum is σ = 321620664960. Its totient is φ = 25971732480.

The previous prime is 100553611903. The next prime is 100553611927. The reversal of 100553611920 is 29116355001.

It is a super-2 number, since 2×1005536119202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100553611927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1331002 + ... + 1404518.

It is an arithmetic number, because the mean of its divisors is an integer number (2010129156).

Almost surely, 2100553611920 is an apocalyptic number.

100553611920 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 100553611920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160810332480).

100553611920 is an abundant number, since it is smaller than the sum of its proper divisors (221067053040).

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

100553611920 is a wasteful number, since it uses less digits than its factorization.

100553611920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73713 (or 73707 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

Adding to 100553611920 its reverse (29116355001), we get a palindrome (129669966921).

The spelling of 100553611920 in words is "one hundred billion, five hundred fifty-three million, six hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 139 164 205 240 246 278 328 410 417 492 556 615 656 695 820 834 984 1112 1230 1390 1640 1668 1968 2085 2224 2460 2780 3280 3336 4170 4920 5560 5699 6672 8340 9840 11120 11398 16680 17097 22796 28495 33360 34194 45592 56990 68388 73517 85485 91184 113980 136776 147034 170970 220551 227960 273552 294068 341940 367585 441102 455920 588136 683880 735170 882204 1102755 1176272 1367760 1470340 1764408 2205510 2940680 3014197 3528816 4411020 5881360 6028394 8822040 9042591 10218863 12056788 15070985 17644080 18085182 20437726 24113576 30141970 30656589 36170364 40875452 45212955 48227152 51094315 60283940 61313178 72340728 81750904 90425910 102188630 120567880 122626356 144681456 153282945 163501808 180851820 204377260 241135760 245252712 306565890 361703640 408754520 418973383 490505424 613131780 723407280 817509040 837946766 1226263560 1256920149 1675893532 2094866915 2452527120 2513840298 3351787064 4189733830 5027680596 6284600745 6703574128 8379467660 10055361192 12569201490 16758935320 20110722384 25138402980 33517870640 50276805960 100553611920