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10210122142242 = 23113118612681507
BaseRepresentation
bin1001010010010011101010…
…1101000001001000100010
31100011002002222010001002220
42110210322231001020202
52314240312232022432
633414244303451510
72102441226156141
oct224447255011042
940132088101086
1010210122142242
1132870a7854530
12118a9592b6b96
13590a6c55bb79
1427425b689758
1512a8c6d5072c
hex9493ab41222

10210122142242 has 64 divisors (see below), whose sum is σ = 23007596064768. Its totient is φ = 2992560696000.

The previous prime is 10210122142163. The next prime is 10210122142291. The reversal of 10210122142242 is 24224122101201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2466853 + ... + 5148359.

It is an arithmetic number, because the mean of its divisors is an integer number (359493688512).

Almost surely, 210210122142242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210122142242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503798032384).

10210122142242 is an abundant number, since it is smaller than the sum of its proper divisors (12797473922526).

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

10210122142242 is a wasteful number, since it uses less digits than its factorization.

10210122142242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683415.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10210122142242 its reverse (24224122101201), we get a palindrome (34434244243443).

The spelling of 10210122142242 in words is "ten trillion, two hundred ten billion, one hundred twenty-two million, one hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 1861 2046 3722 5583 11166 20471 40942 57691 61413 115382 122826 173073 346146 634601 1269202 1903803 2681507 3807606 5363014 8044521 16089042 29496577 58993154 83126717 88489731 166253434 176979462 249380151 498760302 914393887 1828787774 2743181661 4990284527 5486363322 9980569054 14970853581 29941707162 54893129797 109786259594 154698820337 164679389391 309397640674 329358778782 464096461011 928192922022 1701687023707 3403374047414 5105061071121 10210122142242