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2212110021210 = 2353759145123279
BaseRepresentation
bin100000001100001100000…
…010000011001001011010
321211110211202021100112120
4200030030002003021122
5242220400131134320
64412121310522110
7315551101636245
oct40141402031132
97743752240476
102212110021210
1178317248a181
122b887b206336
131307a7759c6b
14790d102c25c
153c81e6a6440
hex2030c08325a

2212110021210 has 128 divisors (see below), whose sum is σ = 5549028249600. Its totient is φ = 563811782400.

The previous prime is 2212110021193. The next prime is 2212110021217. The reversal of 2212110021210 is 121200112122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2212110021210.

It is not an unprimeable number, because it can be changed into a prime (2212110021217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95014351 + ... + 95037629.

It is an arithmetic number, because the mean of its divisors is an integer number (43351783200).

Almost surely, 22212110021210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212110021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774514124800).

2212110021210 is an abundant number, since it is smaller than the sum of its proper divisors (3336918228390).

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

2212110021210 is a wasteful number, since it uses less digits than its factorization.

2212110021210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24836.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2212110021210 its reverse (121200112122), we get a palindrome (2333310133332).

The spelling of 2212110021210 in words is "two trillion, two hundred twelve billion, one hundred ten million, twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 59 74 111 118 177 185 222 295 354 370 555 590 885 1110 1451 1770 2183 2902 4353 4366 6549 7255 8706 10915 13098 14510 21765 21830 23279 32745 43530 46558 53687 65490 69837 85609 107374 116395 139674 161061 171218 232790 256827 268435 322122 349185 428045 513654 536870 698370 805305 856090 861323 1284135 1373461 1610610 1722646 2568270 2583969 2746922 3167533 4120383 4306615 5167938 6335066 6867305 8240766 8613230 9502599 12919845 13734610 15837665 19005198 20601915 25839690 31675330 33777829 41203830 47512995 50818057 67555658 95025990 101333487 101636114 152454171 168889145 202666974 254090285 304908342 337778290 506667435 508180570 762270855 1013334870 1249779673 1524541710 1992891911 2499559346 3749339019 3985783822 5978675733 6248898365 7498678038 9964459555 11957351466 12497796730 18746695095 19928919110 29893378665 37493390190 59786757330 73737000707 147474001414 221211002121 368685003535 442422004242 737370007070 1106055010605 2212110021210