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2211010100312 = 23131953101209029
BaseRepresentation
bin100000001011001010011…
…110001011110001011000
321211101000002120120201112
4200023022132023301120
5242211122041202222
64411420215435452
7315511614522626
oct40131236136130
97741002516645
102211010100312
11782758619342
122b8612985b88
131306609062b0
1479028d10516
153c7a7d38be2
hex202ca78bc58

2211010100312 has 128 divisors (see below), whose sum is σ = 4835616408000. Its totient is φ = 939120998400.

The previous prime is 2211010100267. The next prime is 2211010100389. The reversal of 2211010100312 is 2130010101122.

It is a congruent number.

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, 10473014 + ... + 10682042.

Almost surely, 22211010100312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211010100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417808204000).

2211010100312 is an abundant number, since it is smaller than the sum of its proper divisors (2624606307688).

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

2211010100312 is a wasteful number, since it uses less digits than its factorization.

2211010100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209221 (or 209217 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2211010100312 its reverse (2130010101122), we get a palindrome (4341020201434).

The spelling of 2211010100312 in words is "two trillion, two hundred eleven billion, ten million, one hundred thousand, three hundred twelve".

Divisors: 1 2 4 8 13 19 26 38 52 53 76 101 104 106 152 202 212 247 404 424 494 689 808 988 1007 1313 1378 1919 1976 2014 2626 2756 3838 4028 5252 5353 5512 7676 8056 10504 10706 13091 15352 21412 24947 26182 42824 49894 52364 69589 99788 101707 104728 139178 199576 203414 209029 278356 406828 418058 556712 813656 836116 1322191 1672232 2644382 2717377 3971551 5288764 5434754 7943102 10577528 10869508 11078537 15886204 21111929 21739016 22157074 31772408 42223858 44314148 51630163 84447716 88628296 103260326 144020981 168895432 206520652 210492203 274455077 288041962 401126651 413041304 420984406 548910154 576083924 802253302 841968812 1097820308 1118932237 1152167848 1604506604 1683937624 2195640616 2237864474 2736398639 3209013208 4475728948 5214646463 5472797278 8951457896 10429292926 10945594556 14546119081 20858585852 21259712503 21891189112 29092238162 41717171704 42519425006 58184476324 85038850012 116368952648 170077700024 276376262539 552752525078 1105505050156 2211010100312