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10040221100 = 22527133135591
BaseRepresentation
bin10010101100111000…
…11001110110101100
3221220201110002002202
421112130121312230
5131030244033400
64340140441032
7503543320430
oct112634316654
927821402082
1010040221100
114292496798
121b42549178
13c40130840
146b36329c0
153db6a54d5
hex256719dac

10040221100 has 144 divisors (see below), whose sum is σ = 27680894976. Its totient is φ = 3074976000.

The previous prime is 10040221067. The next prime is 10040221111. The reversal of 10040221100 is 112204001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264305 + ... + 299895.

Almost surely, 210040221100 is an apocalyptic number.

10040221100 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 10040221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13840447488).

10040221100 is an abundant number, since it is smaller than the sum of its proper divisors (17640673876).

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

10040221100 is a wasteful number, since it uses less digits than its factorization.

10040221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35656 (or 35649 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10040221100 its reverse (112204001), we get a palindrome (10152425101).

The spelling of 10040221100 in words is "ten billion, forty million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 31 35 50 52 62 65 70 91 100 124 130 140 155 175 182 217 260 310 325 350 364 403 434 455 620 650 700 775 806 868 910 1085 1300 1550 1612 1820 2015 2170 2275 2821 3100 4030 4340 4550 5425 5642 8060 9100 10075 10850 11284 14105 20150 21700 28210 35591 40300 56420 70525 71182 141050 142364 177955 249137 282100 355910 462683 498274 711820 889775 925366 996548 1103321 1245685 1779550 1850732 2206642 2313415 2491370 3238781 3559100 4413284 4626830 4982740 5516605 6228425 6477562 7723247 9253660 11033210 11567075 12456850 12955124 14343173 15446494 16193905 22066420 23134150 24913700 27583025 28686346 30892988 32387810 38616235 46268300 55166050 57372692 64775620 71715865 77232470 80969525 100402211 110332100 143431730 154464940 161939050 193081175 200804422 286863460 323878100 358579325 386162350 401608844 502011055 717158650 772324700 1004022110 1434317300 2008044220 2510055275 5020110550 10040221100