Search a number
-
+
10210001201200 = 2452432692206709
BaseRepresentation
bin1001010010010011001101…
…1111101010100000110000
31100011001210112112121012001
42110210303133222200300
52314240040301414300
633414224303343344
72102435230165303
oct224446337524060
940131715477161
1010210001201200
11328704555a759
12118a9248b1b54
13590a50495818
142742495a6b3a
1512a8bb41116a
hex949337ea830

10210001201200 has 120 divisors (see below), whose sum is σ = 25193301922800. Its totient is φ = 3974192839680.

The previous prime is 10210001201119. The next prime is 10210001201237. The reversal of 10210001201200 is 210210001201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3523446 + ... + 5730154.

It is an arithmetic number, because the mean of its divisors is an integer number (209944182690).

Almost surely, 210210001201200 is an apocalyptic number.

10210001201200 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 10210001201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12596650961400).

10210001201200 is an abundant number, since it is smaller than the sum of its proper divisors (14983300721600).

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

10210001201200 is a wasteful number, since it uses less digits than its factorization.

10210001201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207039 (or 2207028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10210001201200 its reverse (210210001201), we get a palindrome (10420211202401).

The spelling of 10210001201200 in words is "ten trillion, two hundred ten billion, one million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 269 344 400 430 538 688 860 1075 1076 1345 1720 2150 2152 2690 3440 4300 4304 5380 6725 8600 10760 11567 13450 17200 21520 23134 26900 46268 53800 57835 92536 107600 115670 185072 231340 289175 462680 578350 925360 1156700 2206709 2313400 4413418 4626800 8826836 11033545 17653672 22067090 35307344 44134180 55167725 88268360 94888487 110335450 176536720 189776974 220670900 379553948 441341800 474442435 593604721 759107896 882683600 948884870 1187209442 1518215792 1897769740 2372212175 2374418884 2968023605 3795539480 4744424350 4748837768 5936047210 7591078960 9488848700 9497675536 11872094420 14840118025 18977697400 23744188840 25525003003 29680236050 37955394800 47488377680 51050006006 59360472100 102100012012 118720944200 127625015015 204200024024 237441888400 255250030030 408400048048 510500060060 638125075075 1021000120120 1276250150150 2042000240240 2552500300300 5105000600600 10210001201200