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993101022111102 = 2317109142963624803
BaseRepresentation
bin1110000111001110000101100…
…1101001100010010101111110
311211020021112022202010021120020
43201303201121221202111332
52020131431343130023402
613440052151124233010
7416116116055552452
oct34163413151422576
94736245282107506
10993101022111102
11268483861989613
129347176ab3b766
133381a041c1ac58
14137344bb366662
1579c2c839348bc
hex3873859a6257e

993101022111102 has 64 divisors (see below), whose sum is σ = 2122349622370560. Its totient is φ = 308700092818944.

The previous prime is 993101022111101. The next prime is 993101022111127. The reversal of 993101022111102 is 201111220101399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993101022111101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1589150233 + ... + 1589775035.

It is an arithmetic number, because the mean of its divisors is an integer number (33161712849540).

Almost surely, 2993101022111102 is an apocalyptic number.

993101022111102 is an abundant number, since it is smaller than the sum of its proper divisors (1129248600259458).

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

993101022111102 is a wasteful number, since it uses less digits than its factorization.

993101022111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767897.

The product of its (nonzero) digits is 1944, while the sum is 33.

The spelling of 993101022111102 in words is "nine hundred ninety-three trillion, one hundred one billion, twenty-two million, one hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 17 34 51 102 109 218 327 654 1853 3706 5559 11118 142963 285926 428889 624803 857778 1249606 1874409 2430371 3748818 4860742 7291113 10621651 14582226 15582967 21243302 31165934 31864953 46748901 63729906 68103527 93497802 136207054 204310581 264910439 408621162 529820878 794731317 1157759959 1589462634 2315519918 3473279877 6946559754 89323711289 178647422578 267971133867 535942267734 1518503091913 3037006183826 4555509275739 9111018551478 9736284530501 19472569061002 29208853591503 58417707183006 165516837018517 331033674037034 496550511055551 993101022111102