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210011022022100 = 2252133073131681187
BaseRepresentation
bin101111110000000100000000…
…010111011101010111010100
31000112120212011012202001021112
4233300010000113131113110
5210011310033114201400
62022353422010434152
762143536621425255
oct5760040027352724
91015525135661245
10210011022022100
1160a091a0a56742
121b679662432958
139024c53a82670
1439c0832916b2c
151942d06971835
hexbf01005dd5d4

210011022022100 has 144 divisors (see below), whose sum is σ = 493951621614528. Its totient is φ = 77042971100160.

The previous prime is 210011022022033. The next prime is 210011022022157. The reversal of 210011022022100 is 1220220110012.

It is a congruent number.

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, 124077707 + ... + 125758893.

Almost surely, 2210011022022100 is an apocalyptic number.

210011022022100 is a gapful number since it is divisible by the number (20) 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 210011022022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246975810807264).

210011022022100 is an abundant number, since it is smaller than the sum of its proper divisors (283940599592428).

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

210011022022100 is a wasteful number, since it uses less digits than its factorization.

210011022022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681834 (or 1681827 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210011022022100 its reverse (1220220110012), we get a palindrome (211231242132112).

The spelling of 210011022022100 in words is "two hundred ten trillion, eleven billion, twenty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 307 313 325 614 626 650 1228 1252 1300 1535 1565 3070 3130 3991 4069 6140 6260 7675 7825 7982 8138 15350 15650 15964 16276 19955 20345 30700 31300 39910 40690 79820 81380 96091 99775 101725 192182 199550 203450 384364 399100 406900 480455 960910 1249183 1681187 1921820 2402275 2498366 3362374 4804550 4996732 6245915 6724748 8405935 9609100 12491830 16811870 21855431 24983660 31229575 33623740 42029675 43710862 62459150 84059350 87421724 109277155 124918300 168118700 218554310 437108620 516124409 526211531 546385775 1032248818 1052423062 1092771550 2064497636 2104846124 2185543100 2580622045 2631057655 5161244090 5262115310 6709617317 6840749903 10322488180 10524230620 12903110225 13155288275 13419234634 13681499806 25806220450 26310576550 26838469268 27362999612 33548086585 34203749515 51612440900 52621153100 67096173170 68407499030 134192346340 136814998060 161546940017 167740432925 171018747575 323093880034 335480865850 342037495150 646187760068 670961731700 684074990300 807734700085 1615469400170 2100110220221 3230938800340 4038673500425 4200220440442 8077347000850 8400440880884 10500551101105 16154694001700 21001102202210 42002204404420 52502755505525 105005511011050 210011022022100