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101064631434 = 231325144911497
BaseRepresentation
bin101111000011111101…
…0111110010010001010
3100122212100221020000120
41132013322332102022
53123440021201214
6114232313444110
710205322123144
oct1360772762212
9318770836016
10101064631434
1139952393498
1217706410636
1396b8258980
144c6a5d3c94
152967935ea9
hex1787ebe48a

101064631434 has 64 divisors (see below), whose sum is σ = 219050697600. Its totient is φ = 30901248000.

The previous prime is 101064631411. The next prime is 101064631441. The reversal of 101064631434 is 434136460101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101064631395 and 101064631404.

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, 8784774 + ... + 8796270.

It is an arithmetic number, because the mean of its divisors is an integer number (3422667150).

Almost surely, 2101064631434 is an apocalyptic number.

101064631434 is an abundant number, since it is smaller than the sum of its proper divisors (117986066166).

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

101064631434 is a wasteful number, since it uses less digits than its factorization.

101064631434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12215.

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 101064631434 in words is "one hundred one billion, sixty-four million, six hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 251 449 502 753 898 1347 1506 2694 3263 5837 6526 9789 11497 11674 17511 19578 22994 34491 35022 68982 112699 149461 225398 298922 338097 448383 676194 896766 1465087 2885747 2930174 4395261 5162153 5771494 8657241 8790522 10324306 15486459 17314482 30972918 37514711 67107989 75029422 112544133 134215978 201323967 225088266 402647934 1295700403 2591400806 3887101209 7774202418 16844105239 33688210478 50532315717 101064631434