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2100220211096 = 237372399414507
BaseRepresentation
bin11110100011111110111…
…000010010111110011000
321102210000221212002001022
4132203332320102332120
5233402222333223341
64244454451542012
7304510262146310
oct36437670227630
97383027762038
102100220211096
1173a775613827
1229b0535ba908
13123085886627
1473918c74440
1539971714e4b
hex1e8fee12f98

2100220211096 has 128 divisors (see below), whose sum is σ = 4647408998400. Its totient is φ = 870983124480.

The previous prime is 2100220211051. The next prime is 2100220211101. The reversal of 2100220211096 is 6901120220012.

It is a super-2 number, since 2×21002202110962 (a number of 25 digits) contains 22 as substring.

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, 465988475 + ... + 465992981.

It is an arithmetic number, because the mean of its divisors is an integer number (36307882800).

Almost surely, 22100220211096 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 2100220211096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323704499200).

2100220211096 is an abundant number, since it is smaller than the sum of its proper divisors (2547188787304).

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

2100220211096 is a wasteful number, since it uses less digits than its factorization.

2100220211096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5737 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 2100220211096 in words is "two trillion, one hundred billion, two hundred twenty million, two hundred eleven thousand, ninety-six".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 239 259 296 478 518 941 956 1036 1673 1882 1912 2072 3346 3764 4507 6587 6692 7528 8843 9014 13174 13384 17686 18028 26348 31549 34817 35372 36056 52696 61901 63098 69634 70744 123802 126196 139268 166759 224899 243719 247604 252392 278536 333518 449798 487438 495208 667036 899596 974876 1077173 1167313 1334072 1574293 1799192 1949752 2154346 2334626 3148586 4241087 4308692 4669252 6297172 7540211 8321263 8482174 8617384 9338504 12594344 15080422 16642526 16964348 29687609 30160844 33285052 33928696 39855401 58248841 59375218 60321688 66570104 79710802 116497682 118750436 156920219 159421604 232995364 237500872 278987807 313840438 318843208 465990728 557975614 627680876 1013619793 1098441533 1115951228 1255361752 2027239586 2196883066 2231902456 4054479172 4393766132 7095338551 8108958344 8787532264 14190677102 28381354204 37503932341 56762708408 75007864682 150015729364 262527526387 300031458728 525055052774 1050110105548 2100220211096